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Introduction to applied nonlinear dynamical systems and chaos

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Cover of 'Introduction to applied nonlinear dynamical systems and chaos'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Equilibrium Solutions, Stability, and Linearized Stability
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    Chapter 3 Liapunov Functions
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    Chapter 4 Invariant Manifolds: Linear and Nonlinear Systems
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    Chapter 5 Periodic Orbits
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    Chapter 6 Vector Fields Possessing an Integral
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    Chapter 7 Index Theory
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    Chapter 8 Some General Properties of Vector Fields: Existence, Uniqueness, Differentiability, and Flows
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    Chapter 9 Asymptotic Behavior
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    Chapter 10 The Poincaré-Bendixson Theorem
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    Chapter 11 Poincaré Maps
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    Chapter 12 Conjugacies of Maps, and Varying the Cross-Section
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    Chapter 13 Structural Stability, Genericity, and Transversality
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    Chapter 14 Lagrange’s Equations
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    Chapter 15 Hamiltonian Vector Fields
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    Chapter 16 Gradient Vector Fields
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    Chapter 17 Reversible Dynamical Systems
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    Chapter 18 Asymptotically Autonomous Vector Fields
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    Chapter 19 Center Manifolds
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    Chapter 20 Normal Forms
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    Chapter 21 Bifurcation of Fixed Points of Vector Fields
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    Chapter 22 Bifurcations of Fixed Points of Maps
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    Chapter 23 On the Interpretation and Application of Bifurcation Diagrams: A Word of Caution
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    Chapter 24 The Smale Horseshoe
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    Chapter 25 Symbolic Dynamics
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    Chapter 26 The Conley-Moser Conditions, or “How to Prove That a Dynamical System is Chaotic”
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    Chapter 27 Dynamics Near Homoclinic Points of Two-Dimensional Maps
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    Chapter 28 Orbits Homoclinic to Hyperbolic Fixed Points in Three-Dimensional Autonomous Vector Fields
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    Chapter 29 Melnikov–s Method for Homoclinic Orbits in Two-Dimensional, Time-Periodic Vector Fields
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    Chapter 30 Liapunov Exponents
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    Chapter 31 Chaos and Strange Attractors
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    Chapter 32 Hyperbolic Invariant Sets: A Chaotic Saddle
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    Chapter 33 Long Period Sinks in Dissipative Systems and Elliptic Islands in Conservative Systems
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    Chapter 34 Global Bifurcations Arising from Local Codimension—Two Bifurcations
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    Chapter 35 Glossary of Frequently Used Terms
Attention for Chapter 12: Conjugacies of Maps, and Varying the Cross-Section
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Chapter title
Conjugacies of Maps, and Varying the Cross-Section
Chapter number 12
Book title
Introduction to Applied Nonlinear Dynamical Systems and Chaos
Published by
Springer, New York, NY, January 2003
DOI 10.1007/0-387-21749-5_12
Book ISBNs
978-0-387-00177-7, 978-0-387-21749-9
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 3 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 3 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 1 33%
Researcher 1 33%
Student > Doctoral Student 1 33%
Readers by discipline Count As %
Mathematics 1 33%
Physics and Astronomy 1 33%
Engineering 1 33%