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Shadowing in Dynamical Systems : Theory and Applications

Overview of attention for book
Cover of 'Shadowing in Dynamical Systems : Theory and Applications'

Table of Contents

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    Book Overview
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    Chapter 1 Hyperbolic Fixed Points of Diffeomorphisms and Their Stable and Unstable Manifolds
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    Chapter 2 Hyperbolic Sets of Diffeomorphisms
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    Chapter 3 Transversal Homoclinic Points of Diffeomorphisms and Hyperbolic Sets
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    Chapter 4 The Shadowing Theorem for Hyperbolic Sets of Diffeomorphisms
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    Chapter 5 Symbolic Dynamics Near a Transversal Homoclinic Point of a Diffeomorphism
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    Chapter 6 Hyperbolic Periodic Orbits of Ordinary Differential Equations, Stable and Unstable Manifolds and Asymptotic Phase
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    Chapter 7 Hyperbolic Sets of Ordinary Differential Equations
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    Chapter 8 Transversal Homoclinic Orbits and Hyperbolic Sets in Differential Equations
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    Chapter 9 Shadowing Theorems for Hyperbolic Sets of Differential Equations
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    Chapter 10 Symbolic Dynamics Near a Transversal Homoclinic Orbit of a System of Ordinary Differential Equations
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    Chapter 11 Numerical Shadowing
Attention for Chapter 8: Transversal Homoclinic Orbits and Hyperbolic Sets in Differential Equations
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