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Nonlinear Differential Equations and Dynamical Systems

Overview of attention for book
Cover of 'Nonlinear Differential Equations and Dynamical Systems'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Autonomous equations
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    Chapter 3 Critical points
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    Chapter 4 Periodic solutions
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    Chapter 5 Introduction to the theory of stability
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    Chapter 6 Linear Equations
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    Chapter 7 Stability by linearisation
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    Chapter 8 Stability analysis by the direct method
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    Chapter 9 Introduction to perturbation theory
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    Chapter 10 The Poincaré-Lindstedt method
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    Chapter 11 The method of averaging
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    Chapter 12 Relaxation Oscillations
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    Chapter 13 Bifurcation Theory
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    Chapter 14 Chaos
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    Chapter 15 Hamiltonian systems
Attention for Chapter 7: Stability by linearisation
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