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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-9910674099503321 |
Haken H.
|
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| Berlin, Heidelberg : , : Springer-Verlag, , [2012] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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-9910673995903321 |
|
Haken H.
|
||
| Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , 1977 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The fuzzy systems handbook : a practitioner's guide to building, using and maintaining fuzzy sistems / Earl Cox
| The fuzzy systems handbook : a practitioner's guide to building, using and maintaining fuzzy sistems / Earl Cox |
| Autore | Cox, Earl |
| Pubbl/distr/stampa | Boston : Academic Press, 1994 |
| Descrizione fisica | 623 p. ; 24 cm |
| Disciplina | 003.7 |
| Soggetto non controllato | Fuzzy systems |
| ISBN | 0-12-194270-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990002585150403321 |
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Cox, Earl
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| Boston : Academic Press, 1994 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Variable structure systems with application to economics and biology : proceedings of the second US-Italy Seminar on Variable structure systems / edited by A. Ruberti and R. R. Mohler
| Variable structure systems with application to economics and biology : proceedings of the second US-Italy Seminar on Variable structure systems / edited by A. Ruberti and R. R. Mohler |
| Autore | US-Italy seminar on Variable structure systems <2nd ; 1974 ; Corzallif, Oregon> |
| Pubbl/distr/stampa | Berlin ; New York : Springer-Verlag, 1975 |
| Descrizione fisica | vi, 321 p. : ill. ; 25 cm |
| Disciplina | 003.7 |
| Altri autori (Persone) |
Ruberti, Antonio
Mohler, Robert Rutt |
| Collana | Lecture notes in economics and mathematical systems, 0075-8442 ; 111 |
| Soggetto topico |
Biology - Congresses
Economics - Congresses Mathematics - Congresses System analysis - Congresses Systems analysis - Congresses |
| ISBN | 3540073906 |
| Classificazione | AMS 90-06 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001472269707536 |
|
US-Italy seminar on Variable structure systems <2nd ; 1974 ; Corzallif, Oregon>
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| Berlin ; New York : Springer-Verlag, 1975 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Videoculture di fine secolo / Anceschi...<et al>
| Videoculture di fine secolo / Anceschi...<et al> |
| Pubbl/distr/stampa | Napoli : Liguori, 1989 |
| Descrizione fisica | 201 p. ; 22 cm |
| Disciplina | 003.7 |
| Collana | Fuorimargine |
| Soggetto topico |
Mezzi audiovisivi - Linguaggio
Immagini elettroniche |
| ISBN | 88-207-1863-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Record Nr. | UNISA-990001015220203316 |
| Napoli : Liguori, 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Weak chaos and quasi-regular patterns / G.M. Zaslavsky ... [et. al.]
| Weak chaos and quasi-regular patterns / G.M. Zaslavsky ... [et. al.] |
| Pubbl/distr/stampa | New York : Cambridge University Press, c1991 |
| Descrizione fisica | XII, 253 p. ; 24 cm |
| Disciplina |
513
530.1 003.7 |
| Collana | Cambridge nonlinear science series |
| Soggetto non controllato |
Sistemi dinamici
Dinamica topologica Comportamento caotico nei sistemi Geometria algebrica Frattali matematici Topologia algebrica |
| ISBN | 0-521-37317-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990001323560403321 |
| New York : Cambridge University Press, c1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Zeitvariable Mehrgrossensysteme / E. Freund
| Zeitvariable Mehrgrossensysteme / E. Freund |
| Autore | Freund, E. |
| Pubbl/distr/stampa | Berlin ; New York : Springer-Verlag, 1971 |
| Descrizione fisica | viii, 160 p. : ill. ; 26 cm. |
| Disciplina | 003.7 |
| Collana | Lecture notes in operations research and mathematical systems ; 57 |
| Soggetto topico | Control theory |
| ISBN | 3540056858 |
| Classificazione | AMS 93C50 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ger |
| Record Nr. | UNISALENTO-991001488769707536 |
|
Freund, E.
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| Berlin ; New York : Springer-Verlag, 1971 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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