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Bifurcation Theory of Functional Differential Equations

by Guo, Shangjiang.
Authors: Wu, Jianhong.%author. | SpringerLink (Online service) Series: Applied Mathematical Sciences, 0066-5452 ; . 184 Physical details: IX, 289 p. 18 illus. online resource. ISBN: 1461469929 Subject(s): Mathematics. | Functional equations. | Differentiable dynamical systems. | Differential Equations. | Mathematics. | Difference and Functional Equations. | Dynamical Systems and Ergodic Theory. | Ordinary Differential Equations.
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E-Book E-Book AUM Main Library 515.625 (Browse Shelf) Not for loan

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).

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