Bifurcation Theory of Functional Differential Equations [Paperback]

This book provides a crash course on various methods from the bifurcationtheory 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 containedso the readers will find in this book all relevant materials inbifurcation, dynamical systems with symmetry, functional differentialequations, 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).This book summarizes effective and general approaches and frameworks in the investigation of bifurcation phenomena for? functional differential equations (FDEs). It provides all the tools from bifurcation theory and contains? examples and applications.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.

The book contains a comprehensive list of references to the subject and can be particularly helpful for readers who are interested in the mathematical details that arise in the study of bifurcations in functional differential equations. (Matthias Wolfrum, zbMATH 1316.34003, 2015)

Shangjiang Guo is a Professor at Hunan University. Jianhong Wu is a Professor at York University.

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 soul£(