In this book, bifurcational mechanisms of the development, structure and properties of chaotic attractors are investigated by numerical and physical experiments based on the methods of the modern theory of nonlinear oscillations. The typical bifurcations of regular and chaotic attractors which are due to parameter variations are analyzed.Regularities of the transition to chaos via the collapse of quasiperiodic oscillations with two and three frequencies are investigated in detail. The book deals with the problems of chaotic synchronization, interaction of attractors and the phenomenon of stochastic resonance. The problems of fluctuation influence on the bifurcations and properties of chaotic attractors are investigated more closely.All principal problems are investigated by the comparison of theoretical and numerical results and data from physical experiments.
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Dynamical Chaos, Models And Experiments: Appearance Routes And Stru Of Chaos In Simple Dyna Systems
Appearance Routes and Structure of Chaos in Simple Dynamical Systems
- 399 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Dynamical Chaos, Models And Experiments: Appearance Routes And Stru Of Chaos In Simple Dyna Systems
Appearance Routes and Structure of Chaos in Simple Dynamical Systems
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Topic
Sciences biologiquesSubtopic
Science généraleTable of contents
- CONTENTS
- PREFACE
- CHAPTER 1 STABILITY AND BIFURCATION OF DYNAMICAL SYSTEMS
- CHAPTER 2 NUMERICAL METHODS OF CHAOS INVESTIGATION
- CHAPTER 3 INERTIAL NONLINEARITY OSCILLATOR. REGULAR ATTRACTOR BIFURCATIONS
- CHAPTER 4 AUTONOMOUS OSCILLATION REGIMES IN OSCILLATOR
- CHAPTER 5 QUASIATTRACTOR STRUCTURE AND PROPERTIES AND HOMOCLINIC TRAJECTORIES OF AUTONOMOUS OSCILLATOR
- CHAPTER 6 TWO-FREQUENCY OSCILLATION BREAKDOWN
- CHAPTER 7 BREAKDOWN OF TWO- AND THREE-FREQUENCY QUASIPERIODIC OSCILLATIONS
- CHAPTER 8 SYNCHRONIZATION OF CHAOS
- CHAPTER 9 NONLINEAR PHENOMENA AND CHAOS IN CHUA'S CIRCUIT
- CHAPTER 10 BIFURCATIONS OF DYNAMICAL SYSTEM IN THE PRESENCE OF NOISE
- CHAPTER 11 CHAOS STRUCTURE AND PROPERTIES IN THE PRESENCE OF NOISE
- CHAPTER 12 RECONSTRUCTION OF DYNAMICAL SYSTEMS FROM EXPERIMENTAL DATA
- BIBLIOGRAPHY
- Index
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Yes, you can access Dynamical Chaos, Models And Experiments: Appearance Routes And Stru Of Chaos In Simple Dyna Systems by Vadim S Anishchenko in PDF and/or ePUB format, as well as other popular books in Sciences biologiques & Science générale. We have over 1.5 million books available in our catalogue for you to explore.