Pub. Date:
Springer Berlin Heidelberg
Numerical Bifurcation Analysis for Reaction-Diffusion Equations / Edition 1

Numerical Bifurcation Analysis for Reaction-Diffusion Equations / Edition 1

by Zhen Mei
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Product Details

ISBN-13: 9783642086694
Publisher: Springer Berlin Heidelberg
Publication date: 12/08/2010
Series: Springer Series in Computational Mathematics , #28
Edition description: Softcover reprint of hardcover 1st ed. 2000
Pages: 414
Product dimensions: 6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

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

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