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Imagery synergetics : science of cooperation / / Peter J. Plath, Ernst-Christoph Haß, and Hartmut Linde
| Imagery synergetics : science of cooperation / / Peter J. Plath, Ernst-Christoph Haß, and Hartmut Linde |
| Autore | Plath Peter J. |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (414 pages) |
| Disciplina | 003 |
| Collana | Understanding Complex Systems |
| Soggetto topico |
Self-organizing systems
Synergetics |
| ISBN | 3-030-95607-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Foreword -- Preface -- References -- Contents -- 1 Images from the History of Synergetics -- 1.1 Introduction -- 1.2 Historical Experiments -- 1.3 The Early Days of Synergetics [32] -- 1.3.1 Chemical Waves in the BZ Reaction -- 1.3.2 Outlook-Ongoing Problems Which Could Be Solved by Synergetics -- References -- Part I Synergetic View on Historic Experiments -- 2 The Swinging Chromium -- 2.1 Introduction -- 2.2 Historical Remarks -- 2.3 Experiments -- 2.3.1 Pure Chromium -- 2.3.2 Oscillations at the Active Passive Transition of Chromium -- 2.3.3 Oscillations at the Passive Active Phase Transition -- 2.3.4 Ostwald's Original Chromium -- 2.4 Oscillating Local Cells -- 2.5 Phenomenological Two Variable Model -- 2.6 Conclusions -- References -- 3 Liesegang Structures -- 3.1 Historical Notes -- 3.2 Walking on a Fractal Network? -- 3.3 Diffusion of the Ions or Crystal Nuclei? -- 3.4 Accelerated Diffusion-Chemical Turbulence -- 3.4.1 Processes in the Precipitation Front -- 3.5 Pattern Formation -- 3.6 Simulation -- 3.7 Twisted Scroll Waves-Much Too Early is Already Too Late -- 3.8 Agates and Other Mineralogical Liesegang Structures -- 3.9 Rhythmically Banded Sandstone -- References -- 4 Runge Pictures -- 4.1 A More Analytical Approach -- 4.2 Some Additional Measurements -- 4.3 Impregnation of Filter Paper with Water and Potassium Ferricyanine III -- 4.3.1 The First Front -- 4.3.2 Some Basics of Synergetics -- 4.4 Water Treatment of Dried Filter Paper Impregnated with Potassium Ferricyanide III -- 4.4.1 The Second Front -- 4.4.2 The Third Front -- 4.4.3 Chemical Interpretation of the Observed Colours -- 4.5 Runge Pictures-Chemical Reactions Going on in Filter Paper -- 4.5.1 Treatment of Impregnated Filter Paper First with Iron III and then with Copper Sulfate -- 4.5.2 Modifying Runge's Drop Method to Understand Its Effect on Pattern Formation.
4.6 Reversal of the Order of the Solutions Penetrating into the Impregnated Filter Paper -- 4.6.1 Treatment of with Potassium Ferricyanide III Impregnated Filter Paper with Only Copper Sulfate -- 4.6.2 Treatment of with Potassium Ferricyanide III Impregnated Filter Paper First with Copper and then with Iron II Sulfate -- 4.7 Concluding Remarks -- References -- Part II Fractal Structure in Chemistry and Biology -- 5 Fractal Metal Zinc-Trees -- 5.1 Introduction -- 5.2 Experimental Arrangement and Procedure -- 5.3 Comments on the Theory -- 5.4 Experimental Estimation of Fractal Dimension of the Zinc Deposits -- 5.5 Experiments with 4 and 8 V -- 5.6 Experiment with 12 V -- 5.7 Experiment with 14 V -- References -- 6 The Fractal Character of Modified Zeolites -- 6.1 Preliminaries, Which are Worth Knowing Beforehand -- 6.2 Introduction -- 6.3 Experimental Part -- 6.3.1 Preparation of the Samples -- 6.3.2 Characterization of the Samples -- 6.4 Results -- 6.5 New Synthesis Method -- 6.6 Catalytic Behavior of CoPcX -- 6.7 Analysis of the Results -- 6.8 The Interpretation Based on Chemical Kinetics -- 6.9 An Interpretation Based on Fick's Second Law of Diffusion -- 6.10 An Iterated Function Model for the Formation of Fractals by Diffusion in Octahedral Zeolites -- 6.11 Conclusion -- References -- 7 Pattern of Sea-Shells Modelled by One-Dimensional Automata -- 7.1 Introduction -- 7.2 Historical Remarks -- 7.3 A Basic Model-Coupled Reaction Diffusion Equations -- 7.4 Mapping a Texture onto Spatial Models of Sea Shells -- 7.5 The Vector Automaton Model -- 7.6 Collision Patterns -- 7.7 Stable Collision Particles -- 7.8 Concluding Remarks -- References -- Part III Dissipative Structures -- 8 Waves Which Move Uphill -- 8.1 Introduction -- 8.2 Experimental Setup -- 8.3 Results -- 8.3.1 Phase Separation-Convective Solid. 8.3.2 Phase Separation-Convective Solid-Liquid-Gas -- 8.3.3 Hot Spots as Sputtering Sources in Convective Solids -- 8.3.4 Convective Solids-Waves Moving Uphill -- 8.4 Discussion -- 8.4.1 Collective Behaviour of the Granular System -- 8.4.2 Response Behaviour of the System as a Whole -- 8.4.3 Excitation and Jerk of the Vertically Vibrating System Containing Granular Quartz -- 8.4.4 Power Spectrum of Response Function Ua(t) -- 8.4.5 Flow of Granular Quartz Beats -- 8.5 Summary and Outlook -- References -- 9 Dissipative Sculpturing of Beige Jasper of the Eastern Desert of Egypt -- 9.1 Introduction -- 9.2 Stones, Successions, Concretions and Reliefs Over a Broad Range of Sizes -- 9.2.1 An Imaginable Basis Relief -- 9.2.2 The Variability of the Relief by Deformations, Dislocations and Bounds -- 9.3 Growth of an Amorphous Body When Diffusion, Geometry and Physical-Chemical-Thermodynamic Conditions Play Together -- 9.3.1 The Grow-Stop Dynamic Due to Decreasing Shear Stress with Increasing Radius of the Nodule -- 9.3.2 The Diffusion-Controlled Accumulation Pressure Leads also to the Grow-Stop Dynamic, Which Limits the Volume Increase of the Silica Body -- 9.3.3 The Role of Heterogeneous Nucleation with Respect to the Creation of Local Leading Centers for Further Growing by Over-Layering and Fine-Sculpturing -- 9.3.4 Concentric Spheres Inside of Spherical Silica-Stones by Over-Layering Due to Facilitated and Therefore Preferential Tangential Slide-Way Expansion Along the Solidificated Surface of Their Precursor Bodies, in Short: Wall-Led Expansion -- 9.3.5 Concentric Ring-Bulges Around the "Central Disc" Due to Repeated Local Over-Layering by Facilitated Slide-Way Expansion Along the Grooves at the Border of the Central Disc and Equally at the Border of the Consecutively Step-Wise Developed Ring-Bulges, in Short: Groove-Led Expansion. 9.3.6 Possible Reasons for the Increase of Variability of Concretions and Successions and Especially of the Complex Relief (Dissipative Sculpture) -- 9.3.7 Concluding Remarks -- Appendix -- References -- 10 Complex Dissipative Structures Mainly at Liquid/Liquid and Liquid/Gas Interfaces -- 10.1 Introduction -- 10.2 Dissipative Structures by Heat- and Mass-Transfer Through Liquid/Liquid and Liquid/Gas Inter-Phases Driven by Self-Organized Differences of the Surface-Tension -- References -- 11 Cooperation of Flow-Instabilities -- 11.1 Flow Instabilities with Streaks and Langmuir Circulation -- 11.2 Flow Instabilities at Small Surfaces -- 11.3 Flow Instabilities at Coated Films and Solid Sheets -- 11.4 Meniscus Instability -- 11.5 Further Examples of Flow Instabilities -- References -- 12 The Oscillatory Regime of Marangoni-Instability -- 12.1 Introduction -- 12.2 Angle Crossing and Phase Shifts -- 12.3 Rotating and Counter-Rotating Waves -- 12.4 Structures With Completely Chaotic Behavior -- References -- Part IV Structure Formation in Social Systems -- 13 Creativity-Comments to the Scientific Process -- 13.1 Introduction -- 13.1.1 Creativity in the Scientific Process -- 13.1.2 Modelling Creativity by a Lotka-Volterra Approach -- 13.2 Knowledge Reduces Problems -- 13.2.1 Natural Creativity -- 13.2.2 Autonomous Creativity -- 13.3 Classical Lotka-Volterra Model -- 13.3.1 Forced Creativity-Pulsating Creativity -- 13.3.2 Large, Free Systems-Fully Developed Creativity -- 13.4 Knowledge Enhances Problems -- 13.4.1 Restricted Creativity -- 13.4.2 Restricted Creativity with Recourse to Previous Knowledge -- 13.5 Summary and Outlook -- References -- 14 Mother Hulda and the Blue Sky Catastrophe -- 14.1 Some Introductory Remarks -- 14.2 The Great Goddess Mother Hulda-Frau Holle -- 14.3 The Spinning Meme -- 14.4 The Apple Tree Meme. 14.5 The Meme of Divine Snowmaking: It Snows When Frau Holle Shakes the Feather Beds -- 14.6 The Well Meme or the Second World -- 14.7 Dynamics of the Tale -- 14.8 Reflections on the Socio-Economic Dynamics in Frau Holle's Fairy Tale -- 14.9 Cyclic Dynamic of Resources and Tools for Their Use -- 14.9.1 Inherent Information Bounded in the Tools Arise from Their Use -- 14.10 Abstract Knowledge, Freely Available Can Stabilize Unstable Systems Via Transformation Into Chaotic Ones -- 14.10.1 Paradise is the Birthplace of Science -- 14.10.2 Chaos, Hyper-Chaos and the Blue-Sky Catastrophe -- References -- Part V Kaleidoscope -- 15 The Blue Wonder -- 15.1 Introduction -- 15.2 Spatial Pattern Formation in the PA-MBO-S system -- 15.3 The Blue Wonder (MBO-G-System) and the Catalytic Memory [15] -- 15.4 Some Final Remarks -- References -- 16 Fractal Aggregation of Dictyostelium discoideum -- 16.1 Way of Life of Dictyostelium -- 16.2 The Fractal Dimension of the Aggregation of Dictyostelium discoideum -- 16.2.1 Preparation of the Samples -- 16.2.2 Observation of the Aggregation -- References -- 17 Segregation and Growth-Consecutive Kinetics of Beer Foam Decay -- 17.1 Introduction -- 17.2 Experimental Results -- 17.3 Temporal Development of Individual Bubble Size Classes -- 17.4 Kinetic Modelling By A Multi-Step Consecutive Reaction -- 17.5 Segregation and Agglomeration of Bubbles -- References -- 18 Rapakiwi Granite-An Ancient Fossilized Liesegang Experiment? -- 18.1 Segregation of a Fluid and Subsequent Ostwald Ripening -- 18.2 Transformation to a Liesegang System -- 18.3 Special Plagioclase Liesegang Patterns -- 18.4 Fixation of the Pattern by Crystallization -- 18.5 Three Dimensional Plagioclase Hems of the Alkali Feldspar Ovoides -- References. |
| Record Nr. | UNINA-9910574068203321 |
Plath Peter J.
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The nonlinear world : conceptual analysis and phenomenology / / by Yoshitsugu Oono
| The nonlinear world : conceptual analysis and phenomenology / / by Yoshitsugu Oono |
| Autore | Oono Yoshitsugu |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Tokyo ; ; London, : Springer, 2012 |
| Descrizione fisica | 1 online resource (306 p.) |
| Disciplina | 570.1 |
| Collana | Springer series in synergetics |
| Soggetto topico |
Phenomenological biology
Nonlinear theories Synergetics |
| ISBN |
1-283-90996-0
4-431-54029-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Looking at the Nonlinear World -- Conceptual Analysis -- Phenomenology -- Modeling -- Toward Complexity. |
| Record Nr. | UNINA-9910438113403321 |
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Oono Yoshitsugu
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| Tokyo ; ; London, : Springer, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Physics of self-organization and evolution [[electronic resource] /] / Rainer Feistel and Werner Ebeling
| Physics of self-organization and evolution [[electronic resource] /] / Rainer Feistel and Werner Ebeling |
| Autore | Feistel Rainer |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH, c2011 |
| Descrizione fisica | 1 online resource (535 p.) |
| Disciplina | 003.7 |
| Altri autori (Persone) | EbelingWerner <1936-> |
| Soggetto topico |
Evolution (Biology)
Self-organizing systems Synergetics Thermodynamic equilibrium |
| ISBN |
3-527-63680-3
1-283-86973-X 3-527-63681-1 3-527-63679-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Physics of Self-Organization and Evolution; Contents; Preface; 1 Introduction to the Field of Self-Organization; 1.1 Basic Concepts; 1.2 History of Evolution as a Short Story; 1.3 Structure, Self-organization, and Complexity; 1.4 Entropy, Equilibrium, and Nonequilibrium; 1.5 Dynamics, Stability, and Instability; 1.6 Self-Organization of Information and Values; 2 Fundamental Laws of Equilibrium and Nonequilibrium Thermodynamics; 2.1 The Thermodynamic Way of Describing Nature - Basic Variables; 2.2 Three Fundamental Laws and the Gibbs Relation of Thermodynamics
2.3 Thermodynamic Potentials, Inequalities, and Variational Principles2.4 Irreversible Processes and Self-Organization; 2.5 Irreversible Radiation Transport; 2.6 Irreversible Processes and Fluctuations; 2.7 Toward a Thermodynamics of Small Systems Far from Equilibrium; 3 Evolution of Earth and the Terrestrial Climate; 3.1 The Photon Mill; 3.2 Black-Body Radiation Model of Earth; 3.3 Local Seasonal Response; 3.4 Atmospheric Cooling Rate; 3.5 Black-Body Model with Atmosphere; 3.6 Humidity and Latent Heat; 3.7 Greenhouse Effect; 3.8 Spatial Structure of the Planet; 3.9 Early Evolution of Earth 4 Nonlinear Dynamics, Instabilities, and Fluctuations4.1 State Space, Dynamic Systems, and Graphs; 4.2 Deterministic Dynamic Systems; 4.3 Stochastic Models for Continuous Variables and Predictability; 4.4 Graphs - Mathematical Models of Structures and Networks; 4.5 Stochastic Models for Discrete Variables; 4.6 Stochastic Processes on Networks; 5 Self-Reproduction, Multistability, and Information Transfer as Basic Mechanisms of Evolution; 5.1 The Role of Self-Reproduction and Multistability; 5.2 Deterministic Models of Self-Reproduction and Bistability 5.3 Stochastic Theory of Birth-and-Death Processes5.4 Stochastic Analysis of the Survival of the New; 5.5 Survival of the New in Bistable Systems; 5.6 Multistability, Information Storage, and Information Transfer; 6 Competition and Selection Processes; 6.1 Discussion of Basic Terms; 6.2 Extremum Principles; 6.3 Dynamical Models with Simple Competition; 6.4 Stochastic of Simple Competition Processes; 6.5 Competition in Species Networks; 6.6 Selection and Coexistence; 6.7 Hyperselection; 6.8 Selection in Ecological Systems; 6.9 Selection with Sexual Replication 6.10 Selection between Microreactors6.11 Selection in Social Systems; 7 Models of Evolution Processes; 7.1 Sequence-Evolution Models; 7.2 Evolution on Fitness Landscapes; 7.3 Evolution on Smooth Fisher-Eigen Landscapes; 7.4 Evolution on Random Fisher-Eigen Landscapes; 7.5 Evolution on Lotka-Volterra Landscapes; 7.6 Axiomatic Evolution Models; 7.7 Boolean Behavior in the Positive Cone; 7.8 Axiomatic Description of a Boolean Reaction System; 7.9 Reducible, Linear, and Ideal Boolean Reaction Systems; 7.10 Minor and Major of a Boolean Reaction System 7.11 Selection and Evolution in Boolean Reaction Systems |
| Record Nr. | UNINA-9910137998903321 |
|
Feistel Rainer
|
||
| Weinheim, : Wiley-VCH, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Physics of self-organization and evolution / / Rainer Feistel and Werner Ebeling
| Physics of self-organization and evolution / / Rainer Feistel and Werner Ebeling |
| Autore | Feistel Rainer |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH, c2011 |
| Descrizione fisica | 1 online resource (535 p.) |
| Disciplina | 003.7 |
| Altri autori (Persone) | EbelingWerner <1936-> |
| Soggetto topico |
Evolution (Biology)
Self-organizing systems Synergetics Thermodynamic equilibrium |
| ISBN |
3-527-63680-3
1-283-86973-X 3-527-63681-1 3-527-63679-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Physics of Self-Organization and Evolution; Contents; Preface; 1 Introduction to the Field of Self-Organization; 1.1 Basic Concepts; 1.2 History of Evolution as a Short Story; 1.3 Structure, Self-organization, and Complexity; 1.4 Entropy, Equilibrium, and Nonequilibrium; 1.5 Dynamics, Stability, and Instability; 1.6 Self-Organization of Information and Values; 2 Fundamental Laws of Equilibrium and Nonequilibrium Thermodynamics; 2.1 The Thermodynamic Way of Describing Nature - Basic Variables; 2.2 Three Fundamental Laws and the Gibbs Relation of Thermodynamics
2.3 Thermodynamic Potentials, Inequalities, and Variational Principles2.4 Irreversible Processes and Self-Organization; 2.5 Irreversible Radiation Transport; 2.6 Irreversible Processes and Fluctuations; 2.7 Toward a Thermodynamics of Small Systems Far from Equilibrium; 3 Evolution of Earth and the Terrestrial Climate; 3.1 The Photon Mill; 3.2 Black-Body Radiation Model of Earth; 3.3 Local Seasonal Response; 3.4 Atmospheric Cooling Rate; 3.5 Black-Body Model with Atmosphere; 3.6 Humidity and Latent Heat; 3.7 Greenhouse Effect; 3.8 Spatial Structure of the Planet; 3.9 Early Evolution of Earth 4 Nonlinear Dynamics, Instabilities, and Fluctuations4.1 State Space, Dynamic Systems, and Graphs; 4.2 Deterministic Dynamic Systems; 4.3 Stochastic Models for Continuous Variables and Predictability; 4.4 Graphs - Mathematical Models of Structures and Networks; 4.5 Stochastic Models for Discrete Variables; 4.6 Stochastic Processes on Networks; 5 Self-Reproduction, Multistability, and Information Transfer as Basic Mechanisms of Evolution; 5.1 The Role of Self-Reproduction and Multistability; 5.2 Deterministic Models of Self-Reproduction and Bistability 5.3 Stochastic Theory of Birth-and-Death Processes5.4 Stochastic Analysis of the Survival of the New; 5.5 Survival of the New in Bistable Systems; 5.6 Multistability, Information Storage, and Information Transfer; 6 Competition and Selection Processes; 6.1 Discussion of Basic Terms; 6.2 Extremum Principles; 6.3 Dynamical Models with Simple Competition; 6.4 Stochastic of Simple Competition Processes; 6.5 Competition in Species Networks; 6.6 Selection and Coexistence; 6.7 Hyperselection; 6.8 Selection in Ecological Systems; 6.9 Selection with Sexual Replication 6.10 Selection between Microreactors6.11 Selection in Social Systems; 7 Models of Evolution Processes; 7.1 Sequence-Evolution Models; 7.2 Evolution on Fitness Landscapes; 7.3 Evolution on Smooth Fisher-Eigen Landscapes; 7.4 Evolution on Random Fisher-Eigen Landscapes; 7.5 Evolution on Lotka-Volterra Landscapes; 7.6 Axiomatic Evolution Models; 7.7 Boolean Behavior in the Positive Cone; 7.8 Axiomatic Description of a Boolean Reaction System; 7.9 Reducible, Linear, and Ideal Boolean Reaction Systems; 7.10 Minor and Major of a Boolean Reaction System 7.11 Selection and Evolution in Boolean Reaction Systems |
| Record Nr. | UNINA-9910827404903321 |
|
Feistel Rainer
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||
| Weinheim, : Wiley-VCH, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Synergetics : an introduction : nonequilibrium phase transitions and self-organization in physics, chemistry, and biology / / Hermann Haken
| Synergetics : an introduction : nonequilibrium phase transitions and self-organization in physics, chemistry, and biology / / Hermann Haken |
| Autore | Haken H. |
| Edizione | [2nd ed. 1978.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer-Verlag, , [2012] |
| Descrizione fisica | 1 online resource (359 pages) : illustrations |
| Disciplina | 003.7 |
| Collana | Springer Series in Synergetics |
| Soggetto topico |
Self-organizing systems
Synergetics |
| ISBN | 3-642-96469-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Goal -- 1.1 Order and Disorder: Some Typical Phenomena -- 1.2 Some Typical Problems and Difficulties -- 1.3 How We Shall Proceed -- 2. Probability -- 2.1 Object of Our Investigations: The Sample Space -- 2.2 Random Variables -- 2.3 Probability -- 2.4 Distribution -- 2.5 Random Variables with Densities -- 2.6 Joint Probability -- 2.7 Mathematical Expectation E(X), and Moments -- 2.8 Conditional Probabilities -- 2.9 Independent and Dependent Random Variables -- 2.10*Generating Functions and Characteristic Functions -- 2.11 A Special Probability Distribution: Binomial Distribution -- 2.12 The Poisson Distribution -- 2.13 The Normal Distribution (Gaussian Distribution) -- 2.14 Stirling’s Formula -- 2.15*Central Limit Theorem -- 3. Information -- 3.1 Some Basic Ideas -- 3.2* Information Gain: An Illustrative Derivation -- 3.3 Information Entropy and Constraints -- 3.4 An Example from Physics: Thermodynamics -- 3.5* An Approach to Irreversible Thermodynamics -- 3.6 Entropy—Curse of Statistical Mechanics? -- 4. Chance -- 4.1 A Model of Brownian Movement -- 4.2 The Random Walk Model and Its Master Equation -- 4.3* Joint Probability and Paths. Markov Processes. The Chapman-Kolmogorov Equation. Path Integrals -- 4.4* How to Use Joint Probabilities. Moments. Characteristic Function. Gaussian Processes -- 4.5 The Master Equation -- 4.6 Exact Stationary Solution of the Master Equation for Systems in Detailed Balance -- 4.7* The Master Equation with Detailed Balance. Symmetrization, Eigenvalues and Eigenstates -- 4.8* Kirchhoff’s Method of Solution of the Master Equation -- 4.9* Theorems about Solutions of the Master Equation -- 4.10 The Meaning of Random Processes. Stationary State, Fluctuations, Recurrence Time -- 4.11*Master Equation and Limitations of Irreversible Thermodynamics -- 5. Necessity -- 5.1 Dynamic Processes -- 5.2* Critical Points and Trajectories in a Phase Plane. Once Again Limit Cycles -- 5.3* Stability -- 5.4 Examples and Exercises on Bifurcation and Stability -- 5.5* Classification of Static Instabilities, or an Elementary Approach to Thorn’s Theory of Catastrophes -- 6. Chance and Necessity -- 6.1 Langevin Equations: An Example -- 6.2* Reservoirs and Random Forces -- 6.3 The Fokker-Planck Equation -- 6.4 Some Properties and Stationary Solutions of the Fokker-Planck Equation -- 6.5 Time-Dependent Solutions of the Fokker-Planck Equation -- 6.6* Solution of the Fokker-Planck Equation by Path Integrals -- 6.7 Phase Transition Analogy -- 6.8 Phase Transition Analogy in Continuous Media: Space-Dependent Order Parameter -- 7. Self-Organization -- 7.1 Organization -- 7.2 Self-Organization -- 7.3 The Role of Fluctuations: Reliability or Adaptibility? Switching -- 7.4* Adiabatic Elimination of Fast Relaxing Variables from the Fokker-Planck Equation -- 7.5* Adiabatic Elimination of Fast Relaxing Variables from the Master Equation -- 7.6 Self-Organization in Continuously Extended Media. An Outline of the Mathematical Approach -- 7.7* Generalized Ginzburg-Landau Equations for Nonequilibrium Phase Transitions -- 7.8* Higher-Order Contributions to Generalized Ginzburg-Landau Equations -- 7.9* Scaling Theory of Continuously Extended Nonequilibrium Systems -- 7.10*Soft-Mode Instability -- 7.1 l*Hard-Mode Instability -- 8. Physical Systems -- 8.1 Cooperative Effects in the Laser: Self-Organization and Phase Transition -- 8.2 The Laser Equations in the Mode Picture -- 8.3 The Order Parameter Concept -- 8.4 The Single-Mode Laser -- 8.5 The Multimode Laser -- 8.6 Laser with Continuously Many Modes. Analogy with Superconductivity -- 8.7 First-Order Phase Transitions of the Single-Mode Laser -- 8.8 Hierarchy of Laser Instabilities and Ultrashort Laser Pulses -- 8.9 Instabilities in Fluid Dynamics: The Bénard and Taylor Problems -- 8.10 The Basic Equations -- 8.11 Damped and Neutral Solutions (R ? Rc) -- 8.12 Solution Near R = Rc (Nonlinear Domain). Effective Langevin Equations -- 8.13 The Fokker-Planck Equation and Its Stationary Solution -- 8.14 A Model for the Statistical Dynamics of the Gunn Instability Near Threshold -- 8.15 Elastic Stability: Outline of Some Basic Ideas -- 9. Chemical and Biochemical Systems -- 9.1 Chemical and Biochemical Reactions -- 9.2 Deterministic Processes, Without Diffusion, One Variable -- 9.3 Reaction and Diffusion Equations -- 9.4 Reaction-Diffusion Model with Two or Three Variables: The Brusselator and the Oregonator -- 9.5 Stochastic Model for a Chemical Reaction Without Diffusion. Birth and Death Processes. One Variable -- 9.6 Stochastic Model for a Chemical Reaction with Diffusion. One Variable -- 9.7* Stochastic Treatment of the Brusselator Close to Its Soft-Mode Instability -- 9.8 Chemical Networks -- 10. Applications to Biology -- 10.1 Ecology, Population-Dynamics -- 10.2 Stochastic Models for a Predator-Prey System -- 10.3 A Simple Mathematical Model for Evolutionary Processes -- 10.4 A Model for Morphogenesis -- 10.5 Order Parameters and Morphogenesis -- 10.6 Some Comments on Models of Morphogenesis -- 11. Sociology: A Stochastic Model for the Formation of Public Opinion -- 12. Chaos -- 12.1 What is Chaos? -- 12.2 The Lorenz Model. Motivation and Realization -- 12.3 How Chaos Occurs -- 12.4 Chaos and the Failure of the Slaving Principle -- 12.5 Correlation Function and Frequency Distribution -- 12.6 Further Examples of Chaotic Motion -- 13. Some Historical Remarks and Outlook -- References, Further Reading and Comments. |
| Record Nr. | UNINA-9910789216603321 |
|
Haken H.
|
||
| Berlin, Heidelberg : , : Springer-Verlag, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Synergetics : an introduction : nonequilibrium phase transitions and self-organization in physics, chemistry, and biology / / Hermann Haken
| Synergetics : an introduction : nonequilibrium phase transitions and self-organization in physics, chemistry, and biology / / Hermann Haken |
| Autore | Haken H. |
| Edizione | [2nd ed. 1978.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer-Verlag, , [2012] |
| Descrizione fisica | 1 online resource (359 pages) : illustrations |
| Disciplina | 003.7 |
| Collana | Springer Series in Synergetics |
| Soggetto topico |
Self-organizing systems
Synergetics |
| ISBN | 3-642-96469-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Goal -- 1.1 Order and Disorder: Some Typical Phenomena -- 1.2 Some Typical Problems and Difficulties -- 1.3 How We Shall Proceed -- 2. Probability -- 2.1 Object of Our Investigations: The Sample Space -- 2.2 Random Variables -- 2.3 Probability -- 2.4 Distribution -- 2.5 Random Variables with Densities -- 2.6 Joint Probability -- 2.7 Mathematical Expectation E(X), and Moments -- 2.8 Conditional Probabilities -- 2.9 Independent and Dependent Random Variables -- 2.10*Generating Functions and Characteristic Functions -- 2.11 A Special Probability Distribution: Binomial Distribution -- 2.12 The Poisson Distribution -- 2.13 The Normal Distribution (Gaussian Distribution) -- 2.14 Stirling’s Formula -- 2.15*Central Limit Theorem -- 3. Information -- 3.1 Some Basic Ideas -- 3.2* Information Gain: An Illustrative Derivation -- 3.3 Information Entropy and Constraints -- 3.4 An Example from Physics: Thermodynamics -- 3.5* An Approach to Irreversible Thermodynamics -- 3.6 Entropy—Curse of Statistical Mechanics? -- 4. Chance -- 4.1 A Model of Brownian Movement -- 4.2 The Random Walk Model and Its Master Equation -- 4.3* Joint Probability and Paths. Markov Processes. The Chapman-Kolmogorov Equation. Path Integrals -- 4.4* How to Use Joint Probabilities. Moments. Characteristic Function. Gaussian Processes -- 4.5 The Master Equation -- 4.6 Exact Stationary Solution of the Master Equation for Systems in Detailed Balance -- 4.7* The Master Equation with Detailed Balance. Symmetrization, Eigenvalues and Eigenstates -- 4.8* Kirchhoff’s Method of Solution of the Master Equation -- 4.9* Theorems about Solutions of the Master Equation -- 4.10 The Meaning of Random Processes. Stationary State, Fluctuations, Recurrence Time -- 4.11*Master Equation and Limitations of Irreversible Thermodynamics -- 5. Necessity -- 5.1 Dynamic Processes -- 5.2* Critical Points and Trajectories in a Phase Plane. Once Again Limit Cycles -- 5.3* Stability -- 5.4 Examples and Exercises on Bifurcation and Stability -- 5.5* Classification of Static Instabilities, or an Elementary Approach to Thorn’s Theory of Catastrophes -- 6. Chance and Necessity -- 6.1 Langevin Equations: An Example -- 6.2* Reservoirs and Random Forces -- 6.3 The Fokker-Planck Equation -- 6.4 Some Properties and Stationary Solutions of the Fokker-Planck Equation -- 6.5 Time-Dependent Solutions of the Fokker-Planck Equation -- 6.6* Solution of the Fokker-Planck Equation by Path Integrals -- 6.7 Phase Transition Analogy -- 6.8 Phase Transition Analogy in Continuous Media: Space-Dependent Order Parameter -- 7. Self-Organization -- 7.1 Organization -- 7.2 Self-Organization -- 7.3 The Role of Fluctuations: Reliability or Adaptibility? Switching -- 7.4* Adiabatic Elimination of Fast Relaxing Variables from the Fokker-Planck Equation -- 7.5* Adiabatic Elimination of Fast Relaxing Variables from the Master Equation -- 7.6 Self-Organization in Continuously Extended Media. An Outline of the Mathematical Approach -- 7.7* Generalized Ginzburg-Landau Equations for Nonequilibrium Phase Transitions -- 7.8* Higher-Order Contributions to Generalized Ginzburg-Landau Equations -- 7.9* Scaling Theory of Continuously Extended Nonequilibrium Systems -- 7.10*Soft-Mode Instability -- 7.1 l*Hard-Mode Instability -- 8. Physical Systems -- 8.1 Cooperative Effects in the Laser: Self-Organization and Phase Transition -- 8.2 The Laser Equations in the Mode Picture -- 8.3 The Order Parameter Concept -- 8.4 The Single-Mode Laser -- 8.5 The Multimode Laser -- 8.6 Laser with Continuously Many Modes. Analogy with Superconductivity -- 8.7 First-Order Phase Transitions of the Single-Mode Laser -- 8.8 Hierarchy of Laser Instabilities and Ultrashort Laser Pulses -- 8.9 Instabilities in Fluid Dynamics: The Bénard and Taylor Problems -- 8.10 The Basic Equations -- 8.11 Damped and Neutral Solutions (R ? Rc) -- 8.12 Solution Near R = Rc (Nonlinear Domain). Effective Langevin Equations -- 8.13 The Fokker-Planck Equation and Its Stationary Solution -- 8.14 A Model for the Statistical Dynamics of the Gunn Instability Near Threshold -- 8.15 Elastic Stability: Outline of Some Basic Ideas -- 9. Chemical and Biochemical Systems -- 9.1 Chemical and Biochemical Reactions -- 9.2 Deterministic Processes, Without Diffusion, One Variable -- 9.3 Reaction and Diffusion Equations -- 9.4 Reaction-Diffusion Model with Two or Three Variables: The Brusselator and the Oregonator -- 9.5 Stochastic Model for a Chemical Reaction Without Diffusion. Birth and Death Processes. One Variable -- 9.6 Stochastic Model for a Chemical Reaction with Diffusion. One Variable -- 9.7* Stochastic Treatment of the Brusselator Close to Its Soft-Mode Instability -- 9.8 Chemical Networks -- 10. Applications to Biology -- 10.1 Ecology, Population-Dynamics -- 10.2 Stochastic Models for a Predator-Prey System -- 10.3 A Simple Mathematical Model for Evolutionary Processes -- 10.4 A Model for Morphogenesis -- 10.5 Order Parameters and Morphogenesis -- 10.6 Some Comments on Models of Morphogenesis -- 11. Sociology: A Stochastic Model for the Formation of Public Opinion -- 12. Chaos -- 12.1 What is Chaos? -- 12.2 The Lorenz Model. Motivation and Realization -- 12.3 How Chaos Occurs -- 12.4 Chaos and the Failure of the Slaving Principle -- 12.5 Correlation Function and Frequency Distribution -- 12.6 Further Examples of Chaotic Motion -- 13. Some Historical Remarks and Outlook -- References, Further Reading and Comments. |
| Record Nr. | UNINA-9910813107803321 |
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Haken H.
|
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| Berlin, Heidelberg : , : Springer-Verlag, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Synergetics : an introduction : monequilibrium phase transitions and self-organization in physics, chemistry and biology / / Hermann Haken
| Synergetics : an introduction : monequilibrium phase transitions and self-organization in physics, chemistry and biology / / Hermann Haken |
| Autore | Haken H. |
| Edizione | [1st ed. 1977.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , 1977 |
| Descrizione fisica | 1 online resource (327 pages) : illustrations |
| Disciplina | 003.7 |
| Soggetto topico |
Self-organizing systems
Synergetics |
| ISBN | 3-642-96363-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Goal -- 1.1 Order and Disorder: Some Typical Phenomena -- 1.2 Some Typical Problems and Difficulties -- 1.3 How We Shall Proceed -- 2. Probability -- 2.1 Object of Our Investigations: The Sample Space -- 2.2 Random Variables -- 2.3 Probability -- 2.4 Distribution -- 2.5 Random Variables with Densities -- 2.6 Joint Probability -- 2.7 Mathematical Expectation E(X), and Moments -- 2.8 Conditional Probabilites -- 2.9 Independent and Dependent Random Variables -- 2.10 Generating Functions and Characteristic Functions -- 2.11 A Special Probability Distribution: Binomial Distribution -- 2.12 The Poisson Distribution -- 2.13 The Normal Distribution (Gaussian Distribution) -- 2.14 Stirling’s Formula -- 2.15 Central Limit Theorem -- 3. Information -- 3.1 Some Basic Ideas -- 3.2 Information Gain: An Illustrative Derivation -- 3.3 Information Entropy and Constraints -- 3.4 An Example from Physics: Thermodynamics -- 3.5 An Approach to Irreversible Thermodynamics -- 3.6 Entropy—Curse of Statistical Mechanics? -- 4. Chance -- 4.1 A Model of Brownian Movement -- 4.2 The Random Walk Model and Its Master Equation -- 4.3 Joint Probability and Paths. Markov Processes. The Chapman-Kolmogorov Equation. Path Integrals -- 4.4 How to Use Joint Probabilities. Moments. Characteristic Function. Gaussian Processes -- 4.5 The Master Equation -- 4.6 Exact Stationary Solution of the Master Equation for Systems in Detailed Balance -- 4.7 The Master Equation with Detailed Balance. Symmetrization, Eigenvalues and Eigenstates -- 4.8 Kirchhoff’s Method of Solution of the Master Equation -- 4.9 Theorems about Solutions of the Master Equation -- 4.10 The Meaning of Random Processes. Stationary State, Fluctuations, Recurrence Time -- 4.11 Master Equation and Limitations of Irreversible Thermodynamics -- 5. Necessity -- 5.1 Dynamic Processes -- 5.2 Critical Points and Trajectories in a Phase Plane. Once Again Limit Cycles -- 5.3 Stability -- 5.4 Examples and Exercises on Bifurcation and Stability -- 5.5 Classification of Static Instabilities, or an Elementary Approach to Thom’s Theory of Catastrophes -- 6. Chance and Necessity -- 6.1 Langevin Equations: An Example -- 6.2 Reservoirs and Random Forces -- 6.3 The Fokker-Planck Equation -- 6.4 Some Properties and Stationary Solutions of the Fokker-Planck Equation -- 6.5 Time-Dependent Solutions of the Fokker-Planck Equation -- 6.6 Solution of the Fokker-Planck Equation by Path Integrals -- 6.7 Phase Transition Analogy -- 6.8 Phase Transition Analogy in Continuous Media: Space-Dependent Order Parameter -- 7. Self-Organization -- 7.1 Organization -- 7.2 Self-Organization -- 7.3 The Role of Fluctuations: Reliability or Adaptibility? Switching -- 7.4 Adiabatic Elimination of Fast Relaxing Variables from the Fokker-Planck Equation -- 7.5 Adiabatic Elimination of Fast Relaxing Variables from the Master Equation -- 7.6 Self-Organization in Continuously Extended Media. An Outline of the Mathematical Approach -- 7.7 Generalized Ginzburg-Landau Equations for Nonequilibrium Phase Transitions -- 7.8 Higher-Order Contributions to Generalized Ginzburg-Landau Equations -- 7.9 Scaling Theory of Continuously Extended Nonequilibrium Systems -- 7.10 Soft-Mode Instability -- 7.11 Hard-Mode Instability -- 8. Physical Systems -- 8.1 Cooperative Effects in the Laser: Self-Organization and Phase Transition -- 8.2 The Laser Equations in the Mode Picture -- 8.3 The Order Parameter Concept -- 8.4 The Single-Mode Laser -- 8.5 The Multimode Laser -- 8.6 Laser with Continuously Many Modes. Analogy with Superconductivity -- 8.7 First-Order Phase Transitions of the Single-Mode Laser -- 8.8 Hierachy of Laser Instabilities and Ultrashort Laser Pulses -- 8.9 Instabilities in Fluid Dynamics: The Bénard and Taylor Problems -- 8.10 The Basic Equations -- 8.11 Damped and Neutral Solutions (R ? Rc) -- 8.12 Solution Near R = Rc (Nonlinear Domain). Effective Langevin Equations -- 8.13 The Fokker-Planck Equation and Its Stationary Solution -- 8.14 A Model for the Statistical Dynamics of the Gunn Instability Near Threshold -- 8.15 Elastic Stability: Outline of Some Basic Ideas -- 9. Chemical and Biochemical Systems -- 9.1 Chemical and Biochemical Reactions -- 9.2 Deterministic Processes, Without Diffusion, One Variable -- 9.3 Reaction and Diffusion Equations -- 9.4 Reaction-Diffusion Model with Two or Three Variables: The Brusselator and the Oregonator -- 9.5 Stochastic Model for a Chemical Reaction Without Diffusion. Birth and Death Processes. One Variable -- 9.6 Stochastic Model for a Chemical Reaction with Diffusion. One Variable -- 9.7 Stochastic Treatment ofthe Brusselator Close to Its Soft-Mode Instability -- 9.8 Chemical Networks -- 10. Applications to Biology -- 10.1 Ecology, Population-Dynamics -- 10.2 Stochastic Models for a Predator-Prey System -- 10.3 A Simple Mathematical Model for Evolutionary Processes -- 10.4 A Model for Morphogenesis -- 11. Sociology: A Stochastic Model for the Formation of Public Opinion -- 12. Some Historical Remarks and Outlook -- References, Further Reading, and Comments. |
| Record Nr. | UNINA-9910789209503321 |
|
Haken H.
|
||
| Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , 1977 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Synergetics : an introduction : monequilibrium phase transitions and self-organization in physics, chemistry and biology / / Hermann Haken
| Synergetics : an introduction : monequilibrium phase transitions and self-organization in physics, chemistry and biology / / Hermann Haken |
| Autore | Haken H. |
| Edizione | [1st ed. 1977.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , 1977 |
| Descrizione fisica | 1 online resource (327 pages) : illustrations |
| Disciplina | 003.7 |
| Soggetto topico |
Self-organizing systems
Synergetics |
| ISBN | 3-642-96363-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Goal -- 1.1 Order and Disorder: Some Typical Phenomena -- 1.2 Some Typical Problems and Difficulties -- 1.3 How We Shall Proceed -- 2. Probability -- 2.1 Object of Our Investigations: The Sample Space -- 2.2 Random Variables -- 2.3 Probability -- 2.4 Distribution -- 2.5 Random Variables with Densities -- 2.6 Joint Probability -- 2.7 Mathematical Expectation E(X), and Moments -- 2.8 Conditional Probabilites -- 2.9 Independent and Dependent Random Variables -- 2.10 Generating Functions and Characteristic Functions -- 2.11 A Special Probability Distribution: Binomial Distribution -- 2.12 The Poisson Distribution -- 2.13 The Normal Distribution (Gaussian Distribution) -- 2.14 Stirling’s Formula -- 2.15 Central Limit Theorem -- 3. Information -- 3.1 Some Basic Ideas -- 3.2 Information Gain: An Illustrative Derivation -- 3.3 Information Entropy and Constraints -- 3.4 An Example from Physics: Thermodynamics -- 3.5 An Approach to Irreversible Thermodynamics -- 3.6 Entropy—Curse of Statistical Mechanics? -- 4. Chance -- 4.1 A Model of Brownian Movement -- 4.2 The Random Walk Model and Its Master Equation -- 4.3 Joint Probability and Paths. Markov Processes. The Chapman-Kolmogorov Equation. Path Integrals -- 4.4 How to Use Joint Probabilities. Moments. Characteristic Function. Gaussian Processes -- 4.5 The Master Equation -- 4.6 Exact Stationary Solution of the Master Equation for Systems in Detailed Balance -- 4.7 The Master Equation with Detailed Balance. Symmetrization, Eigenvalues and Eigenstates -- 4.8 Kirchhoff’s Method of Solution of the Master Equation -- 4.9 Theorems about Solutions of the Master Equation -- 4.10 The Meaning of Random Processes. Stationary State, Fluctuations, Recurrence Time -- 4.11 Master Equation and Limitations of Irreversible Thermodynamics -- 5. Necessity -- 5.1 Dynamic Processes -- 5.2 Critical Points and Trajectories in a Phase Plane. Once Again Limit Cycles -- 5.3 Stability -- 5.4 Examples and Exercises on Bifurcation and Stability -- 5.5 Classification of Static Instabilities, or an Elementary Approach to Thom’s Theory of Catastrophes -- 6. Chance and Necessity -- 6.1 Langevin Equations: An Example -- 6.2 Reservoirs and Random Forces -- 6.3 The Fokker-Planck Equation -- 6.4 Some Properties and Stationary Solutions of the Fokker-Planck Equation -- 6.5 Time-Dependent Solutions of the Fokker-Planck Equation -- 6.6 Solution of the Fokker-Planck Equation by Path Integrals -- 6.7 Phase Transition Analogy -- 6.8 Phase Transition Analogy in Continuous Media: Space-Dependent Order Parameter -- 7. Self-Organization -- 7.1 Organization -- 7.2 Self-Organization -- 7.3 The Role of Fluctuations: Reliability or Adaptibility? Switching -- 7.4 Adiabatic Elimination of Fast Relaxing Variables from the Fokker-Planck Equation -- 7.5 Adiabatic Elimination of Fast Relaxing Variables from the Master Equation -- 7.6 Self-Organization in Continuously Extended Media. An Outline of the Mathematical Approach -- 7.7 Generalized Ginzburg-Landau Equations for Nonequilibrium Phase Transitions -- 7.8 Higher-Order Contributions to Generalized Ginzburg-Landau Equations -- 7.9 Scaling Theory of Continuously Extended Nonequilibrium Systems -- 7.10 Soft-Mode Instability -- 7.11 Hard-Mode Instability -- 8. Physical Systems -- 8.1 Cooperative Effects in the Laser: Self-Organization and Phase Transition -- 8.2 The Laser Equations in the Mode Picture -- 8.3 The Order Parameter Concept -- 8.4 The Single-Mode Laser -- 8.5 The Multimode Laser -- 8.6 Laser with Continuously Many Modes. Analogy with Superconductivity -- 8.7 First-Order Phase Transitions of the Single-Mode Laser -- 8.8 Hierachy of Laser Instabilities and Ultrashort Laser Pulses -- 8.9 Instabilities in Fluid Dynamics: The Bénard and Taylor Problems -- 8.10 The Basic Equations -- 8.11 Damped and Neutral Solutions (R ? Rc) -- 8.12 Solution Near R = Rc (Nonlinear Domain). Effective Langevin Equations -- 8.13 The Fokker-Planck Equation and Its Stationary Solution -- 8.14 A Model for the Statistical Dynamics of the Gunn Instability Near Threshold -- 8.15 Elastic Stability: Outline of Some Basic Ideas -- 9. Chemical and Biochemical Systems -- 9.1 Chemical and Biochemical Reactions -- 9.2 Deterministic Processes, Without Diffusion, One Variable -- 9.3 Reaction and Diffusion Equations -- 9.4 Reaction-Diffusion Model with Two or Three Variables: The Brusselator and the Oregonator -- 9.5 Stochastic Model for a Chemical Reaction Without Diffusion. Birth and Death Processes. One Variable -- 9.6 Stochastic Model for a Chemical Reaction with Diffusion. One Variable -- 9.7 Stochastic Treatment ofthe Brusselator Close to Its Soft-Mode Instability -- 9.8 Chemical Networks -- 10. Applications to Biology -- 10.1 Ecology, Population-Dynamics -- 10.2 Stochastic Models for a Predator-Prey System -- 10.3 A Simple Mathematical Model for Evolutionary Processes -- 10.4 A Model for Morphogenesis -- 11. Sociology: A Stochastic Model for the Formation of Public Opinion -- 12. Some Historical Remarks and Outlook -- References, Further Reading, and Comments. |
| Record Nr. | UNINA-9910813427903321 |
|
Haken H.
|
||
| Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , 1977 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Synergy
| Synergy |
| Pubbl/distr/stampa | [Amsterdam, The Netherlands] : , : Elsevier, , [2014]- |
| Descrizione fisica | 1 online resource |
| Soggetto topico |
Synergetics
Life sciences |
| Soggetto genere / forma | Periodicals. |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910249450503321 |
| [Amsterdam, The Netherlands] : , : Elsevier, , [2014]- | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
