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Numerical bifurcation analysis for reaction-diffusion equations

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Cover of 'Numerical bifurcation analysis for reaction-diffusion equations'

Table of Contents

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    Book Overview
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    Chapter 1 Reaction-Diffusion Equations
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    Chapter 2 Continuation of Nonsingular Solutions
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    Chapter 3 Detecting and Computing Bifurcation Points
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    Chapter 4 Branch Switching at Simple Bifurcation Points
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    Chapter 5 Bifurcation Problems with Symmetry
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    Chapter 6 Liapunov-Schmidt Method
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    Chapter 7 Center Manifold Theory
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    Chapter 8 A Numerical Bifurcation Function for Homoclinic Orbits
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    Chapter 9 One-Dimensional Reaction-Diffusion Equations
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    Chapter 10 Reaction-Diffusion Equations on a Square
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    Chapter 11 Normal Forms for Hopf Bifurcations
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    Chapter 12 Steady/Steady State Mode Interactions
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    Chapter 13 Hopf/Steady State Mode Interactions
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    Chapter 14 Homotopy of Boundary Conditions
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    Chapter 15 Bifurcations along a Homotopy of Boundary Conditions
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    Chapter 16 A Mode Interaction on a Homotopy of Boundary Conditions
Attention for Chapter 3: Detecting and Computing Bifurcation Points
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