Details
Bifurcation Theory of Functional Differential Equations
Applied Mathematical Sciences, Band 184
|
96,29 € |
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| Verlag: | Springer |
| Format: | |
| Veröffentl.: | 30.07.2013 |
| ISBN/EAN: | 9781461469926 |
| Sprache: | englisch |
| Anzahl Seiten: | 289 |
Dieses eBook enthält ein Wasserzeichen.
Beschreibungen
This book provides a crash course on various methods from the bifurcation
theory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering and the study of FDEs has been a major source of inspiration for advancement in nonlinear analysis and infinite dimensional dynamical systems. The book summarizes some practical and general approaches and frameworks for the investigation of bifurcation phenomena of FDEs depending on parameters with chap. This well illustrated book aims to be self contained
so the readers will find in this book all relevant materials in
bifurcation, dynamical systems with symmetry, functional differential
equations, normal forms and center manifold reduction. This material was used in graduate courses on functional differential equations at Hunan University (China) and York University (Canada).
theory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering and the study of FDEs has been a major source of inspiration for advancement in nonlinear analysis and infinite dimensional dynamical systems. The book summarizes some practical and general approaches and frameworks for the investigation of bifurcation phenomena of FDEs depending on parameters with chap. This well illustrated book aims to be self contained
so the readers will find in this book all relevant materials in
bifurcation, dynamical systems with symmetry, functional differential
equations, normal forms and center manifold reduction. This material was used in graduate courses on functional differential equations at Hunan University (China) and York University (Canada).
Introduction to Dynamic Bifurcation Theory.- Introduction to Functional Differential Equations.-Center Manifold Reduction.- Normal form theory.- Lyapunov-Schmidt Reduction.- Degree theory.- Bifurcation in Symmetric FDEs.
Shangjiang Guo is a Professor at Hunan University. Jianhong Wu is a Professor at York University.
<p>This book provides a crash course on various methods from the bifurcation theory of Functional Differential Equations (FDEs). FDEs arise very naturally in economics, life sciences and engineering and the study of FDEs has been a major source of inspiration for advancement in nonlinear analysis and infinite dimensional dynamical systems. The book summarizes some practical and general approaches and frameworks for the investigation of bifurcation phenomena of FDEs depending on parameters. The book aims to be self-contained so the readers will find in this book all relevant materials in bifurcation, dynamical systems with symmetry, functional differential equations, normal forms and center manifold reduction. This material was used in graduate courses on functional differential equations at Hunan University (China) and York University (Canada). </p>
Authored by two leading active researchers Self-contained and with most recent results on state-dependent delay equations and global bifurcations Contains theory and some related applications Includes supplementary material: sn.pub/extras
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