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Averaging Methods in Nonlinear Dynamical Systems

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Cover of 'Averaging Methods in Nonlinear Dynamical Systems'

Table of Contents

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    Book Overview
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    Chapter 1 Basic Material and Asymptotics
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    Chapter 2 Averaging: the Periodic Case
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    Chapter 3 Methodology of Averaging
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    Chapter 4 Averaging: the General Case
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    Chapter 5 Attraction
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    Chapter 6 Periodic Averaging and Hyperbolicity
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    Chapter 7 Averaging over Angles
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    Chapter 8 Passage Through Resonance
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    Chapter 9 From Averaging to Normal Forms
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    Chapter 10 Hamiltonian Normal Form Theory
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    Chapter 11 Classical (First-Level) Normal Form Theory
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    Chapter 12 Nilpotent (Classical) Normal Form
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    Chapter 13 Higher-Level Normal Form Theory
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    Chapter 14 The History of the Theory of Averaging
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    Chapter 15 A 4-Dimensional Example of Hopf Bifurcation
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    Chapter 16 Invariant Manifolds by Averaging
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    Chapter 17 Some Elementary Exercises in Celestial Mechanics
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    Chapter 18 On Averaging Methods for Partial Differential Equations
Attention for Chapter 8: Passage Through Resonance
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