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Mathematics - Dynamical Systems & Differential Equations | Bifurcation Theory of Functional Differential Equations

Bifurcation Theory of Functional Differential Equations

Series: Applied Mathematical Sciences, Vol. 184

Guo, Shangjiang, Wu, Jianhong

2013, IX, 289 p. 18 illus.

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  • ​​ ​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

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).

Content Level » Research

Keywords » Bifurcation Systems with Delay - Bifurcation Theory in ODE - Functional Differential Equations - Lyapunov-Schmidt Reduction

Related subjects » Dynamical Systems & Differential Equations

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