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Numerical Bifurcation Analysis for Reaction-Diffusion Equations
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Résumé
This book provides the readers numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Emphasis is put on combination of numerical analysis with bifurcation theory and application to reaction-diffusion equations. Many examples and figures are used to illustrate analysis of bifurcation scenario and implementation of numerical schemes. The reader will have a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion equations.
Sommaire
- Reaction-Diffusion Equations
- Continuation Methods
- Detecting and Computing Bifurcation Points
- Branch Switching at Simple Bifurcation Points
- Bifurcation Problems with Symmetry
- Liapunov-Schmidt Method
- Center Manifold Theory
- A Bifurcation Function for Homoclinic orbits
- One-Dimensional Reaction-Diffusion Equations
- Reaction-Diffusion Equations on a Square
- Normal Forms for Hopf Bifurcations
- Steady/Steady State Mode Interactions
- Hopf/Steady State Mode Interactions
- Homotopy of Boundary Conditions
- Bifurcations along a Homotopy of BCs
- A mode Interaction on a Homotopy of BCs.
Caractéristiques
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Date de parution28/06/2000
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Editeur
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Collection
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ISBN3-540-67296-6
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EAN9783540672968
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PrésentationRelié
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Nb. de pages414 pages
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Poids0.675 Kg
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Dimensions16,2 cm × 24,2 cm × 2,7 cm
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