Chaos from simple models to complex systems

Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The first part, intended for undergraduate and graduate students, is a gentle and self-contained introductio...

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Bibliographic Details
Main Authors: Cencini, Massimo, Cecconi, Fabio, Vulpiani, Angelo
Format: eBook Book
Language:English
Published: New Jersey World Scientific Publishing Co. Pte. Ltd 2010
World Scientific
World Scientific Publishing Company
WORLD SCIENTIFIC
WSPC
Series:Series on advances in statistical mechanics
Subjects:
All Nonlinear Science Titles
BioMathematics
Biostatistics
Chaotic behavior in systems
Dynamics
Mathematical Computation and Modeling
Mathematical Physics
SCIENCE
Statistical Physics, Complexity and Nonlinear Dynamical Systems
Chaos
Dynamical Systems
Information Theory
Spatiotemporal Chaos
Applications of Chaos
Statistical Dynamics
Modeling
Complexity
ISBN:9789814277655, 9814277657, 9789814277662, 9814277665, 9813203587, 9789813203587
Online Access:Get full text
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Table of Contents:
  • Chaos : from simple models to complex systems -- Preface -- Introduction -- Contents -- Part 1: Introduction to Dynamical Systems and Chaos -- Chapter 1: First Encounter with Chaos -- Chapter 2: The Language of Dynamical Systems -- Chapter 3: Examples of Chaotic Behaviors -- Chapter 4: Probabilistic Approach to Chaos -- Chapter 5: Characterization of Chaotic Dynamical Systems -- Chapter 6: From Order to Chaos in Dissipative Systems -- Chapter 7: Chaos in Hamiltonian Systems -- Part 2: Advanced Topics and Applications: From Information Theory to Turbulence -- Chapter 8: Chaos and Information Theory -- Chapter 9: Coarse-Grained Information and Large Scale Predictability -- Chapter 10: Chaos in Numerical and Laboratory Experiments -- Chapter 11: Chaos in Low Dimensional Systems -- Chapter 12: Spatiotemporal Chaos -- Chapter 13: Turbulence as a Dynamical System Problem -- Chapter 14: Chaos and Statistical Mechanics: Fermi-Pasta-Ulam a Case Study -- Epilogue -- Bibliography -- Index.