| Description |
1 online resource (ix, 289 pages) : illustrations |
| Series |
Applied Mathematical Sciences ; v. 184 |
|
Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 184.
|
| Contents |
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 |
| Summary |
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) |
| Analysis |
wiskunde |
|
mathematics |
|
differentiaalvergelijkingen |
|
differential equations |
|
Mathematics (General) |
|
Wiskunde (algemeen) |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
|
Online resource; title from PDF title page (SpringerLink, viewed August 20, 2013) |
| Subject |
Bifurcation theory.
|
|
Functional differential equations.
|
|
MATHEMATICS -- Calculus.
|
|
MATHEMATICS -- Mathematical Analysis.
|
|
TeorÃa de bifurcación
|
|
Bifurcation theory
|
|
Functional differential equations
|
| Form |
Electronic book
|
| Author |
Wu, Jianhong, 1964- author.
|
| ISBN |
9781461469926 |
|
1461469929 |
|
