Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Reviews of nonlinear dynamics and complexity . Volume 3 [[electronic resource] /] / edited by Heinz Georg Schuster
| Reviews of nonlinear dynamics and complexity . Volume 3 [[electronic resource] /] / edited by Heinz Georg Schuster |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH |
| Descrizione fisica | 1 online resource (261 p.) |
| Disciplina | 003.75 |
| Altri autori (Persone) | SchusterHeinz Georg <1943-> |
| Collana | Annual Reviews of Nonlinear Dynamics and Complexity (VCH) |
| Soggetto topico |
Nonlinear theories
Computational complexity |
| ISBN |
1-282-71239-X
9786612712395 3-527-63096-1 3-527-63097-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Reviews of Nonlinear Dynamics and Complexity; Contents; Preface; List of Contributors; 1 The Chaos Computing Paradigm; 1.1 Brief History of Computers; 1.2 The Conceptualization, Foundations, Design and Implementation of Current Computer Architectures; 1.3 Limits of Binary Computers and Alternative Approaches to Computation: What Lies Beyond Moore's Law?; 1.4 Exploiting Nonlinear Dynamics for Computations; 1.5 General Concept; 1.6 Continuous-Time Nonlinear System; 1.7 Proof-of-Principle Experiments; 1.7.1 Discrete-Time Nonlinear System; 1.7.2 Continuous-Time Nonlinear System
1.8 Logic from Nonlinear Evolution: Dynamical Logic Outputs1.8.1 Implementation of Half- and Full-Adder Operations; 1.9 Exploiting Nonlinear Dynamics to Store and Process Information; 1.9.1 Encoding Information; 1.9.2 Processing Information; 1.9.3 Representative Example; 1.9.4 Implementation of the Search Method with Josephson Junctions; 1.9.5 Discussions; 1.10 VLSI Implementation of Chaotic Computing Architectures: Proof of Concept; 1.11 Conclusions; References; 2 How Does God Play Dice?; 2.1 Introduction; 2.2 Model; 2.2.1 Bounce Map with Dissipation 2.3 Phase Space Structure: Poincaré Section2.4 Orientation Flip Diagrams; 2.5 Bounce Diagrams; 2.6 Summary and Conclusions; 2.7 Acknowledgments; References; 3 Phase Reduction of Stochastic Limit-Cycle Oscillators; 3.1 Introduction; 3.2 Phase Description of Oscillator; 3.3 Oscillator with White Gaussian Noise; 3.3.1 Stochastic Phase Equation; 3.3.2 Derivation; 3.3.3 Steady Phase Distribution and Frequency; 3.3.4 Numerical Examples; 3.4 Oscillator with Ornstein-Uhlenbeck Noise; 3.4.1 Generalized Stochastic Phase Equation; 3.4.2 Derivation; 3.4.3 Steady Phase Distribution and Frequency 3.4.4 Numerical Examples3.4.5 Phase Equation in Some Limits; 3.5 Noise effect on entrainment; 3.5.1 Periodically Driven Oscillator with White Gaussian Noise; 3.5.2 Periodically Driven Oscillator with Ornstein-Uhlenbeck Noise; 3.5.3 Conjecture; 3.6 Summary; References; 4 Complex Systems, numbers and Number Theory; 4.1 A Statistical Pattern in the Prime Number Sequence; 4.1.1 Benford's Law and Generalized Benford's Law; 4.1.2 Are the First-Digit Frequencies of Prime Numbers Benford Distributed?; 4.1.3 Prime Number Theorem Versus Size-Dependent Generalized Benford's Law 4.1.4 The Primes Counting Function L(N)4.1.5 Remarks; 4.2 Phase Transition in Numbers: the Stochastic Prime Number Generator; 4.2.1 Phase Transition; 4.2.1.1 Network Image and Order Parameter; 4.2.1.2 Annealed Approximation; 4.2.1.3 Data Collapse; 4.2.2 Computational Complexity; 4.2.2.1 Worst-Case Classification; 4.2.2.2 Easy-Hard-Easy Pattern; 4.2.2.3 Average-Case Classification; 4.3 Self-Organized Criticality in Number Systems: Topology Induces Criticality; 4.3.1 The Division Model; 4.3.2 Division Dynamics and SOC; 4.3.3 Analytical Developments: Statistical Physics Versus Number Theory 4.3.4 A More General Class of Models |
| Record Nr. | UNINA-9910840987803321 |
| Weinheim, : Wiley-VCH | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Reviews of nonlinear dynamics and complexity . Volume 2 [[electronic resource] /] / edited by Heinz Georg Schuster
| Reviews of nonlinear dynamics and complexity . Volume 2 [[electronic resource] /] / edited by Heinz Georg Schuster |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH |
| Descrizione fisica | 1 online resource (260 p.) |
| Disciplina | 003.75 |
| Altri autori (Persone) | SchusterHeinz Georg <1943-> |
| Collana | Annual Reviews of Nonlinear Dynamics and Complexity (VCH) |
| Soggetto topico |
Nonlinear theories
Computational complexity |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-68976-2
9786612689765 3-527-62800-2 3-527-62801-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Reviews of Nonlinear Dynamics and Complexity; Contents; Preface; List of Contributors; 1 Human Mobility and Spatial Disease Dynamics; 1.1 Introduction and Motivation; 1.2 Quantitative Assessments of Human Mobility; 1.2.1 Preliminary Considerations; 1.2.2 The Lack of Scale in Human Mobility; 1.3 Statistical Properties and Scaling Laws in Multi-Scale Mobility Networks; 1.3.1 Scaling Laws in the Topological Features of Multi-Scale Transportation Networks; 1.4 Spatially Extended Epidemic Models; 1.4.1 Disease Dynamics in a Single Population; 1.4.1.1 The SIS Model; 1.5 Spatial Models
1.5.1 Continuity Limit and Fractional Transport1.5.2 Limiting Cases; References; 2 Stochastic Evolutionary Game Dynamics; 2.1 Game Theory and Evolution; 2.2 The Replicator Dynamics; 2.3 Evolutionary Games in Finite Populations; 2.3.1 Stochastic Evolutionary Game Dynamics; 2.3.2 Fixation Probabilities; 2.3.3 Fixation Times; 2.3.3.1 Unconditional Fixation Time; 2.3.3.2 Conditional Fixation Times; 2.3.4 The Moran Process and Weak Selection; 2.3.5 The Fermi Process; 2.4 From Finite to Infinite Populations (and Back Again); 2.5 Applications; 2.5.1 The Prisoner's Dilemma; 2.5.2 Rock-Paper-Scissors 2.5.3 Voluntary Public Goods Games2.5.4 Punishment; 2.6 Concluding Remarks; References; 3 Dynamic and Topological Interplay in Adaptive Networks; 3.1 Introduction; 3.2 Adaptive Networks: A Definition; 3.2.1 Basic Definitions of Graph Theory; 3.2.2 Dynamic and Evolving Networks; 3.2.3 Adaptive Networks; 3.3 Ubiquity of Adaptive Networks Across Disciplines; 3.4 Robust Self-Organization Toward Criticality in Boolean Networks; 3.5 Adaptive Connection Weights in Coupled Oscillator Networks; 3.5.1 Leadership and the Division of Labor; 3.5.2 Self-Organization Towards Synchronizability 3.6 Cooperation in Games on Adaptive Networks3.6.1 Elevated Levels of Cooperation; 3.6.2 Struggle for Topological Position; 3.7 Dynamics and Phase Transitions in Opinion Formation and Epidemics; 3.7.1 Epidemiological Models; 3.7.2 Opinion Formation; 3.8 Summary, Synthesis and Outlook; 3.8.1 The Four Hallmarks of Adaptive Networks; 3.8.2 Adaptive Networks: Future Impacts; 3.8.3 Towards a Unifying Theory of Adaptive Networks; 3.8.4 Future Challenges; References; 4 Fractal Models of Earthquake Dynamics; 4.1 Introduction; 4.1.1 Earthquake Statistics; 4.1.2 Modeling Earthquake Dynamics 4.1.3 Fractal Faults4.1.3.1 Fractal Geometry of Fault Surfaces; 4.1.3.2 Frequency-Size Distribution of Faults; 4.2 Two-Fractal Overlap Model; 4.2.1 The Model; 4.2.2 Analysis of the Time Series; 4.2.3 The Gutenberg-Richter Law; 4.2.4 The Omori Law; 4.2.5 Temporal Distribution of Magnitudes of an Aftershock Sequence; 4.3 Comparison with Observations; 4.3.1 The Gutenberg-Richter Law; 4.3.2 The Omori Law; 4.3.3 The Temporal Distribution of Aftershock Magnitudes; 4.4 Fiber Bundle Model of Earthquakes; 4.5 Summary and Discussion; C.1 Random Cantor Sets; C.2 Regular Sierpinski Gaskets C.3 Random Sierpinski Gaskets |
| Record Nr. | UNINA-9910139767203321 |
| Weinheim, : Wiley-VCH | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Reviews of nonlinear dynamics and complexity . Volume 2 [[electronic resource] /] / edited by Heinz Georg Schuster
| Reviews of nonlinear dynamics and complexity . Volume 2 [[electronic resource] /] / edited by Heinz Georg Schuster |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH |
| Descrizione fisica | 1 online resource (260 p.) |
| Disciplina | 003.75 |
| Altri autori (Persone) | SchusterHeinz Georg <1943-> |
| Collana | Annual Reviews of Nonlinear Dynamics and Complexity (VCH) |
| Soggetto topico |
Nonlinear theories
Computational complexity |
| ISBN |
1-282-68976-2
9786612689765 3-527-62800-2 3-527-62801-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Reviews of Nonlinear Dynamics and Complexity; Contents; Preface; List of Contributors; 1 Human Mobility and Spatial Disease Dynamics; 1.1 Introduction and Motivation; 1.2 Quantitative Assessments of Human Mobility; 1.2.1 Preliminary Considerations; 1.2.2 The Lack of Scale in Human Mobility; 1.3 Statistical Properties and Scaling Laws in Multi-Scale Mobility Networks; 1.3.1 Scaling Laws in the Topological Features of Multi-Scale Transportation Networks; 1.4 Spatially Extended Epidemic Models; 1.4.1 Disease Dynamics in a Single Population; 1.4.1.1 The SIS Model; 1.5 Spatial Models
1.5.1 Continuity Limit and Fractional Transport1.5.2 Limiting Cases; References; 2 Stochastic Evolutionary Game Dynamics; 2.1 Game Theory and Evolution; 2.2 The Replicator Dynamics; 2.3 Evolutionary Games in Finite Populations; 2.3.1 Stochastic Evolutionary Game Dynamics; 2.3.2 Fixation Probabilities; 2.3.3 Fixation Times; 2.3.3.1 Unconditional Fixation Time; 2.3.3.2 Conditional Fixation Times; 2.3.4 The Moran Process and Weak Selection; 2.3.5 The Fermi Process; 2.4 From Finite to Infinite Populations (and Back Again); 2.5 Applications; 2.5.1 The Prisoner's Dilemma; 2.5.2 Rock-Paper-Scissors 2.5.3 Voluntary Public Goods Games2.5.4 Punishment; 2.6 Concluding Remarks; References; 3 Dynamic and Topological Interplay in Adaptive Networks; 3.1 Introduction; 3.2 Adaptive Networks: A Definition; 3.2.1 Basic Definitions of Graph Theory; 3.2.2 Dynamic and Evolving Networks; 3.2.3 Adaptive Networks; 3.3 Ubiquity of Adaptive Networks Across Disciplines; 3.4 Robust Self-Organization Toward Criticality in Boolean Networks; 3.5 Adaptive Connection Weights in Coupled Oscillator Networks; 3.5.1 Leadership and the Division of Labor; 3.5.2 Self-Organization Towards Synchronizability 3.6 Cooperation in Games on Adaptive Networks3.6.1 Elevated Levels of Cooperation; 3.6.2 Struggle for Topological Position; 3.7 Dynamics and Phase Transitions in Opinion Formation and Epidemics; 3.7.1 Epidemiological Models; 3.7.2 Opinion Formation; 3.8 Summary, Synthesis and Outlook; 3.8.1 The Four Hallmarks of Adaptive Networks; 3.8.2 Adaptive Networks: Future Impacts; 3.8.3 Towards a Unifying Theory of Adaptive Networks; 3.8.4 Future Challenges; References; 4 Fractal Models of Earthquake Dynamics; 4.1 Introduction; 4.1.1 Earthquake Statistics; 4.1.2 Modeling Earthquake Dynamics 4.1.3 Fractal Faults4.1.3.1 Fractal Geometry of Fault Surfaces; 4.1.3.2 Frequency-Size Distribution of Faults; 4.2 Two-Fractal Overlap Model; 4.2.1 The Model; 4.2.2 Analysis of the Time Series; 4.2.3 The Gutenberg-Richter Law; 4.2.4 The Omori Law; 4.2.5 Temporal Distribution of Magnitudes of an Aftershock Sequence; 4.3 Comparison with Observations; 4.3.1 The Gutenberg-Richter Law; 4.3.2 The Omori Law; 4.3.3 The Temporal Distribution of Aftershock Magnitudes; 4.4 Fiber Bundle Model of Earthquakes; 4.5 Summary and Discussion; C.1 Random Cantor Sets; C.2 Regular Sierpinski Gaskets C.3 Random Sierpinski Gaskets |
| Record Nr. | UNINA-9910830676003321 |
| Weinheim, : Wiley-VCH | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Reviews of nonlinear dynamics and complexity . Volume 2 [[electronic resource] /] / edited by Heinz Georg Schuster
| Reviews of nonlinear dynamics and complexity . Volume 2 [[electronic resource] /] / edited by Heinz Georg Schuster |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH |
| Descrizione fisica | 1 online resource (260 p.) |
| Disciplina | 003.75 |
| Altri autori (Persone) | SchusterHeinz Georg <1943-> |
| Collana | Annual Reviews of Nonlinear Dynamics and Complexity (VCH) |
| Soggetto topico |
Nonlinear theories
Computational complexity |
| ISBN |
1-282-68976-2
9786612689765 3-527-62800-2 3-527-62801-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Reviews of Nonlinear Dynamics and Complexity; Contents; Preface; List of Contributors; 1 Human Mobility and Spatial Disease Dynamics; 1.1 Introduction and Motivation; 1.2 Quantitative Assessments of Human Mobility; 1.2.1 Preliminary Considerations; 1.2.2 The Lack of Scale in Human Mobility; 1.3 Statistical Properties and Scaling Laws in Multi-Scale Mobility Networks; 1.3.1 Scaling Laws in the Topological Features of Multi-Scale Transportation Networks; 1.4 Spatially Extended Epidemic Models; 1.4.1 Disease Dynamics in a Single Population; 1.4.1.1 The SIS Model; 1.5 Spatial Models
1.5.1 Continuity Limit and Fractional Transport1.5.2 Limiting Cases; References; 2 Stochastic Evolutionary Game Dynamics; 2.1 Game Theory and Evolution; 2.2 The Replicator Dynamics; 2.3 Evolutionary Games in Finite Populations; 2.3.1 Stochastic Evolutionary Game Dynamics; 2.3.2 Fixation Probabilities; 2.3.3 Fixation Times; 2.3.3.1 Unconditional Fixation Time; 2.3.3.2 Conditional Fixation Times; 2.3.4 The Moran Process and Weak Selection; 2.3.5 The Fermi Process; 2.4 From Finite to Infinite Populations (and Back Again); 2.5 Applications; 2.5.1 The Prisoner's Dilemma; 2.5.2 Rock-Paper-Scissors 2.5.3 Voluntary Public Goods Games2.5.4 Punishment; 2.6 Concluding Remarks; References; 3 Dynamic and Topological Interplay in Adaptive Networks; 3.1 Introduction; 3.2 Adaptive Networks: A Definition; 3.2.1 Basic Definitions of Graph Theory; 3.2.2 Dynamic and Evolving Networks; 3.2.3 Adaptive Networks; 3.3 Ubiquity of Adaptive Networks Across Disciplines; 3.4 Robust Self-Organization Toward Criticality in Boolean Networks; 3.5 Adaptive Connection Weights in Coupled Oscillator Networks; 3.5.1 Leadership and the Division of Labor; 3.5.2 Self-Organization Towards Synchronizability 3.6 Cooperation in Games on Adaptive Networks3.6.1 Elevated Levels of Cooperation; 3.6.2 Struggle for Topological Position; 3.7 Dynamics and Phase Transitions in Opinion Formation and Epidemics; 3.7.1 Epidemiological Models; 3.7.2 Opinion Formation; 3.8 Summary, Synthesis and Outlook; 3.8.1 The Four Hallmarks of Adaptive Networks; 3.8.2 Adaptive Networks: Future Impacts; 3.8.3 Towards a Unifying Theory of Adaptive Networks; 3.8.4 Future Challenges; References; 4 Fractal Models of Earthquake Dynamics; 4.1 Introduction; 4.1.1 Earthquake Statistics; 4.1.2 Modeling Earthquake Dynamics 4.1.3 Fractal Faults4.1.3.1 Fractal Geometry of Fault Surfaces; 4.1.3.2 Frequency-Size Distribution of Faults; 4.2 Two-Fractal Overlap Model; 4.2.1 The Model; 4.2.2 Analysis of the Time Series; 4.2.3 The Gutenberg-Richter Law; 4.2.4 The Omori Law; 4.2.5 Temporal Distribution of Magnitudes of an Aftershock Sequence; 4.3 Comparison with Observations; 4.3.1 The Gutenberg-Richter Law; 4.3.2 The Omori Law; 4.3.3 The Temporal Distribution of Aftershock Magnitudes; 4.4 Fiber Bundle Model of Earthquakes; 4.5 Summary and Discussion; C.1 Random Cantor Sets; C.2 Regular Sierpinski Gaskets C.3 Random Sierpinski Gaskets |
| Record Nr. | UNINA-9910840983003321 |
| Weinheim, : Wiley-VCH | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Reviews of nonlinear dynamics and complexity . Volume 1 [[electronic resource] /] / edited by Heinz Georg Schuster
| Reviews of nonlinear dynamics and complexity . Volume 1 [[electronic resource] /] / edited by Heinz Georg Schuster |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH, 2008 |
| Descrizione fisica | 1 online resource (229 p.) |
| Disciplina | 003.75 |
| Altri autori (Persone) | SchusterHeinz Georg <1943-> |
| Soggetto topico |
Nonlinear theories
Computational complexity |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-30245-0
9786612302459 3-527-62635-2 3-527-62636-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Reviews of Nonlinear Dynamics and Complexity; Contents; Preface; List of Contributors; 1 Nonlinear Dynamics of Nanomechanical and Micromechanical Resonators; 1.1 Nonlinearities in NEMS and MEMS Resonators; 1.1.1 Why Study Nonlinear NEMS and MEMS?; 1.1.2 Origin of Nonlinearity in NEMS and MEMS Resonators; 1.1.3 Nonlinearities Arising from External Potentials; 1.1.4 Nonlinearities Due to Geometry; 1.2 The Directly-driven Damped Duffing Resonator; 1.2.1 The Scaled Duffing Equation of Motion; 1.2.2 A Solution Using Secular Perturbation Theory; 1.2.3 Addition of Other Nonlinear Terms
1.3 Parametric Excitation of a Damped Duffing Resonator1.3.1 Driving Below Threshold: Amplification and Noise Squeezing; 1.3.2 Linear Instability; 1.3.3 Nonlinear Behavior Near Threshold; 1.3.4 Nonlinear Saturation Above Threshold; 1.3.5 Parametric Excitation at the Second Instability Tongue; 1.4 Parametric Excitation of Arrays of Coupled Duffing Resonators; 1.4.1 Modeling an Array of Coupled Duffing Resonators; 1.4.2 Calculating the Response of an Array; 1.4.3 The Response of Very Small Arrays - Comparison of Analytics and Numerics; 1.4.4 Response of Large Arrays - Numerical Simulation 1.5 Amplitude Equation Description for Large Arrays1.5.1 Amplitude Equations for Counter Propagating Waves; 1.5.2 Reduction to a Single Amplitude Equation; 1.5.3 Single Mode Oscillations; References; 2 Delay Stabilization of Rotating Waves Without Odd Number Limitation; 2.1 Introduction; 2.2 Mechanism of Stabilization; 2.3 S(1)-Symmetry and Stability of Rotating Waves; 2.4 Conditions on the Feedback Gain; 2.5 Tori; 2.6 Conclusion; References; 3 Random Boolean Networks; 3.1 Introduction; 3.2 Model; 3.2.1 Topology; 3.2.2 Update Functions; 3.2.3 Dynamics; 3.2.4 Applications; 3.2.5 Problems 3.3 Annealed Approximation and Phase Diagrams3.3.1 The Time Evolution of the Proportion of 1s and 0s; 3.3.2 The Time Evolution of the Hamming Distance; 3.3.3 The Statistics of Small Perturbations in Critical Networks; 3.3.4 Problems; 3.4 Networks with K = 1; 3.4.1 Topology of K = 1 Networks; 3.4.2 Dynamics on K = 1 Networks; 3.4.2.1 Cycles on Loops; 3.4.2.2 K = 1 Networks in the Frozen Phase; 3.4.2.3 Critical K = 1 Networks; 3.4.3 Dynamics on K = N Networks; 3.4.4 Application: Basins of Attraction in Frozen, Critical and Chaotic Networks; 3.4.5 Problems; 3.5 Critical Networks with K = 2 3.5.1 Frozen and Relevant Nodes3.5.2 Analytical Calculations; 3.5.3 Problems; 3.6 Networks with Larger K; 3.7 Outlook; 3.7.1 Noise; 3.7.2 Scale-free Networks and Other Realistic Network Structures; 3.7.3 External Inputs; 3.7.4 Evolution of Boolean Networks; 3.7.5 Beyond the Boolean Approximation; References; 4 Return Intervals and Extreme Events in Persistent Time Series with Applications to Climate and Seismic Records; 4.1 Introduction; 4.2 Statistics of Return Intervals; 4.2.1 Data Generation and Mean Return Interval 4.2.2 Stretched Exponential Behavior and Finite-Size Effects for Large Return Intervals |
| Record Nr. | UNINA-9910139779203321 |
| Weinheim, : Wiley-VCH, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Reviews of nonlinear dynamics and complexity . Volume 1 [[electronic resource] /] / edited by Heinz Georg Schuster
| Reviews of nonlinear dynamics and complexity . Volume 1 [[electronic resource] /] / edited by Heinz Georg Schuster |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH, 2008 |
| Descrizione fisica | 1 online resource (229 p.) |
| Disciplina | 003.75 |
| Altri autori (Persone) | SchusterHeinz Georg <1943-> |
| Soggetto topico |
Nonlinear theories
Computational complexity |
| ISBN |
1-282-30245-0
9786612302459 3-527-62635-2 3-527-62636-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Reviews of Nonlinear Dynamics and Complexity; Contents; Preface; List of Contributors; 1 Nonlinear Dynamics of Nanomechanical and Micromechanical Resonators; 1.1 Nonlinearities in NEMS and MEMS Resonators; 1.1.1 Why Study Nonlinear NEMS and MEMS?; 1.1.2 Origin of Nonlinearity in NEMS and MEMS Resonators; 1.1.3 Nonlinearities Arising from External Potentials; 1.1.4 Nonlinearities Due to Geometry; 1.2 The Directly-driven Damped Duffing Resonator; 1.2.1 The Scaled Duffing Equation of Motion; 1.2.2 A Solution Using Secular Perturbation Theory; 1.2.3 Addition of Other Nonlinear Terms
1.3 Parametric Excitation of a Damped Duffing Resonator1.3.1 Driving Below Threshold: Amplification and Noise Squeezing; 1.3.2 Linear Instability; 1.3.3 Nonlinear Behavior Near Threshold; 1.3.4 Nonlinear Saturation Above Threshold; 1.3.5 Parametric Excitation at the Second Instability Tongue; 1.4 Parametric Excitation of Arrays of Coupled Duffing Resonators; 1.4.1 Modeling an Array of Coupled Duffing Resonators; 1.4.2 Calculating the Response of an Array; 1.4.3 The Response of Very Small Arrays - Comparison of Analytics and Numerics; 1.4.4 Response of Large Arrays - Numerical Simulation 1.5 Amplitude Equation Description for Large Arrays1.5.1 Amplitude Equations for Counter Propagating Waves; 1.5.2 Reduction to a Single Amplitude Equation; 1.5.3 Single Mode Oscillations; References; 2 Delay Stabilization of Rotating Waves Without Odd Number Limitation; 2.1 Introduction; 2.2 Mechanism of Stabilization; 2.3 S(1)-Symmetry and Stability of Rotating Waves; 2.4 Conditions on the Feedback Gain; 2.5 Tori; 2.6 Conclusion; References; 3 Random Boolean Networks; 3.1 Introduction; 3.2 Model; 3.2.1 Topology; 3.2.2 Update Functions; 3.2.3 Dynamics; 3.2.4 Applications; 3.2.5 Problems 3.3 Annealed Approximation and Phase Diagrams3.3.1 The Time Evolution of the Proportion of 1s and 0s; 3.3.2 The Time Evolution of the Hamming Distance; 3.3.3 The Statistics of Small Perturbations in Critical Networks; 3.3.4 Problems; 3.4 Networks with K = 1; 3.4.1 Topology of K = 1 Networks; 3.4.2 Dynamics on K = 1 Networks; 3.4.2.1 Cycles on Loops; 3.4.2.2 K = 1 Networks in the Frozen Phase; 3.4.2.3 Critical K = 1 Networks; 3.4.3 Dynamics on K = N Networks; 3.4.4 Application: Basins of Attraction in Frozen, Critical and Chaotic Networks; 3.4.5 Problems; 3.5 Critical Networks with K = 2 3.5.1 Frozen and Relevant Nodes3.5.2 Analytical Calculations; 3.5.3 Problems; 3.6 Networks with Larger K; 3.7 Outlook; 3.7.1 Noise; 3.7.2 Scale-free Networks and Other Realistic Network Structures; 3.7.3 External Inputs; 3.7.4 Evolution of Boolean Networks; 3.7.5 Beyond the Boolean Approximation; References; 4 Return Intervals and Extreme Events in Persistent Time Series with Applications to Climate and Seismic Records; 4.1 Introduction; 4.2 Statistics of Return Intervals; 4.2.1 Data Generation and Mean Return Interval 4.2.2 Stretched Exponential Behavior and Finite-Size Effects for Large Return Intervals |
| Record Nr. | UNINA-9910830763903321 |
| Weinheim, : Wiley-VCH, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Reviews of nonlinear dynamics and complexity . Volume 1 [[electronic resource] /] / edited by Heinz Georg Schuster
| Reviews of nonlinear dynamics and complexity . Volume 1 [[electronic resource] /] / edited by Heinz Georg Schuster |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH, 2008 |
| Descrizione fisica | 1 online resource (229 p.) |
| Disciplina | 003.75 |
| Altri autori (Persone) | SchusterHeinz Georg <1943-> |
| Soggetto topico |
Nonlinear theories
Computational complexity |
| ISBN |
1-282-30245-0
9786612302459 3-527-62635-2 3-527-62636-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Reviews of Nonlinear Dynamics and Complexity; Contents; Preface; List of Contributors; 1 Nonlinear Dynamics of Nanomechanical and Micromechanical Resonators; 1.1 Nonlinearities in NEMS and MEMS Resonators; 1.1.1 Why Study Nonlinear NEMS and MEMS?; 1.1.2 Origin of Nonlinearity in NEMS and MEMS Resonators; 1.1.3 Nonlinearities Arising from External Potentials; 1.1.4 Nonlinearities Due to Geometry; 1.2 The Directly-driven Damped Duffing Resonator; 1.2.1 The Scaled Duffing Equation of Motion; 1.2.2 A Solution Using Secular Perturbation Theory; 1.2.3 Addition of Other Nonlinear Terms
1.3 Parametric Excitation of a Damped Duffing Resonator1.3.1 Driving Below Threshold: Amplification and Noise Squeezing; 1.3.2 Linear Instability; 1.3.3 Nonlinear Behavior Near Threshold; 1.3.4 Nonlinear Saturation Above Threshold; 1.3.5 Parametric Excitation at the Second Instability Tongue; 1.4 Parametric Excitation of Arrays of Coupled Duffing Resonators; 1.4.1 Modeling an Array of Coupled Duffing Resonators; 1.4.2 Calculating the Response of an Array; 1.4.3 The Response of Very Small Arrays - Comparison of Analytics and Numerics; 1.4.4 Response of Large Arrays - Numerical Simulation 1.5 Amplitude Equation Description for Large Arrays1.5.1 Amplitude Equations for Counter Propagating Waves; 1.5.2 Reduction to a Single Amplitude Equation; 1.5.3 Single Mode Oscillations; References; 2 Delay Stabilization of Rotating Waves Without Odd Number Limitation; 2.1 Introduction; 2.2 Mechanism of Stabilization; 2.3 S(1)-Symmetry and Stability of Rotating Waves; 2.4 Conditions on the Feedback Gain; 2.5 Tori; 2.6 Conclusion; References; 3 Random Boolean Networks; 3.1 Introduction; 3.2 Model; 3.2.1 Topology; 3.2.2 Update Functions; 3.2.3 Dynamics; 3.2.4 Applications; 3.2.5 Problems 3.3 Annealed Approximation and Phase Diagrams3.3.1 The Time Evolution of the Proportion of 1s and 0s; 3.3.2 The Time Evolution of the Hamming Distance; 3.3.3 The Statistics of Small Perturbations in Critical Networks; 3.3.4 Problems; 3.4 Networks with K = 1; 3.4.1 Topology of K = 1 Networks; 3.4.2 Dynamics on K = 1 Networks; 3.4.2.1 Cycles on Loops; 3.4.2.2 K = 1 Networks in the Frozen Phase; 3.4.2.3 Critical K = 1 Networks; 3.4.3 Dynamics on K = N Networks; 3.4.4 Application: Basins of Attraction in Frozen, Critical and Chaotic Networks; 3.4.5 Problems; 3.5 Critical Networks with K = 2 3.5.1 Frozen and Relevant Nodes3.5.2 Analytical Calculations; 3.5.3 Problems; 3.6 Networks with Larger K; 3.7 Outlook; 3.7.1 Noise; 3.7.2 Scale-free Networks and Other Realistic Network Structures; 3.7.3 External Inputs; 3.7.4 Evolution of Boolean Networks; 3.7.5 Beyond the Boolean Approximation; References; 4 Return Intervals and Extreme Events in Persistent Time Series with Applications to Climate and Seismic Records; 4.1 Introduction; 4.2 Statistics of Return Intervals; 4.2.1 Data Generation and Mean Return Interval 4.2.2 Stretched Exponential Behavior and Finite-Size Effects for Large Return Intervals |
| Record Nr. | UNINA-9910841192703321 |
| Weinheim, : Wiley-VCH, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
