Zhen Mei

Numerical Bifurcation Analysis for Reaction-Diffusion Equations (eBook, PDF)

• Format: PDF

Produktbeschreibung

This monograph is the first to provide readers with numerical tools for a systematic analysis of bifurcation problems in reaction-diffusion equations. Many examples and figures illustrate analysis of bifurcation scenario and implementation of numerical schemes. Readers will gain a thorough understanding of numerical bifurcation analysis and the necessary tools for investigating nonlinear phenomena in reaction-diffusion equations.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 414
• Erscheinungstermin: 9. März 2013
• Englisch
• ISBN-13: 9783662041772
• Artikelnr.: 53395269

Inhaltsangabe

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.

Rezensionen

"Literature on bifurcation theory is supplemented by one more excellent book highlighting its numerical aspect. The reviewed book will be very helpful for all specialists applying bifurcation theory mathods in their investigations." (Boris V.Loginov, zbMATH 0952.65105, 2022)