Deterministic Chaos An Introduction 4th Edition by Heinz Georg Schuster, Wolfram Just – Ebook PDF Instant Download/Delivery: 3527404155, 9783527404155
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Product details:
ISBN 10: 3527404155
ISBN 13: 9783527404155
Author: Heinz Georg Schuster, Wolfram Just
Deterministic Chaos An Introduction 4th Table of contents:
Chapter 1: Introduction to Chaos
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What Is Deterministic Chaos?
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Historical Background and Key Discoveries
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Examples from Nature and Science
Chapter 2: Nonlinear Dynamical Systems
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Linear vs. Nonlinear Systems
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Phase Space and Trajectories
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Fixed Points, Limit Cycles, and Stability
Chapter 3: One-Dimensional Maps
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Logistic Map and Its Dynamics
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Bifurcation Diagrams
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Period Doubling and Onset of Chaos
Chapter 4: Continuous-Time Dynamical Systems
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Ordinary Differential Equations (ODEs)
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Lorenz Equations and Butterfly Effect
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Attractors and Basins of Attraction
Chapter 5: Quantifying Chaos
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Lyapunov Exponents
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Fractal Dimensions
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Entropy Measures
Chapter 6: Two- and Higher-Dimensional Maps
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Henon Map and Other Examples
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Strange Attractors and Their Properties
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Visualization Techniques
Chapter 7: Hamiltonian Chaos
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Introduction to Hamiltonian Systems
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KAM Theorem and Phase Space Structures
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Chaos in Conservative Systems
Chapter 8: Chaos in Physical Systems
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Fluid Dynamics and Turbulence
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Electrical Circuits and Nonlinear Oscillators
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Biological and Ecological Applications
Chapter 9: Control and Synchronization of Chaos
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Methods to Control Chaos
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Applications in Engineering and Technology
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Chaos Synchronization Techniques
Chapter 10: Numerical Methods and Simulations
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Iterative Maps and Differential Equation Solvers
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Stability and Accuracy Considerations
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Software Tools for Chaos Analysis
Chapter 11: Advanced Topics
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Symbolic Dynamics
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Bifurcations Beyond Period Doubling
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Current Research and Open Problems
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Tags: Heinz Georg Schuster, Wolfram Just, Deterministic Chaos


