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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
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Citations

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Title
Introduction to applied nonlinear dynamical systems and chaos
Published by
Springer, January 2003
DOI 10.1007/b97481
ISBNs
978-0-387-00177-7, 978-0-387-21749-9
Authors

Wiggins, Stephen

Twitter Demographics

The data shown below were collected from the profiles of 6 tweeters who shared this research output. Click here to find out more about how the information was compiled.

Mendeley readers

The data shown below were compiled from readership statistics for 103 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Spain 1 <1%
France 1 <1%
Switzerland 1 <1%
Unknown 100 97%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 24 23%
Student > Master 15 15%
Student > Bachelor 13 13%
Researcher 11 11%
Student > Doctoral Student 6 6%
Other 17 17%
Unknown 17 17%
Readers by discipline Count As %
Engineering 28 27%
Mathematics 25 24%
Physics and Astronomy 9 9%
Computer Science 5 5%
Neuroscience 4 4%
Other 14 14%
Unknown 18 17%