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Bifurcation Theory of Functional Differential Equations

  • Book
  • © 2013

Overview

Authors:
  1. Shangjiang Guo

    1. Hunan University College of Math and Econometrics, Changsha Hunan, China, People's Republic

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  2. Jianhong Wu

    1. Department of Mathematics and Statistics, York University, Toronto, Canada

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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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Applied Mathematical Sciences (AMS, volume 184)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-ix
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  2. Introduction to Dynamic Bifurcation Theory

    • Shangjiang Guo, Jianhong Wu
    Pages 1-40

  3. Introduction to Functional Differential Equations

    • Shangjiang Guo, Jianhong Wu
    Pages 41-60

  4. Center Manifold Reduction

    • Shangjiang Guo, Jianhong Wu
    Pages 61-83

  5. Normal Form Theory

    • Shangjiang Guo, Jianhong Wu
    Pages 85-117

  6. Lyapunov–Schmidt Reduction

    • Shangjiang Guo, Jianhong Wu
    Pages 119-151

  7. Degree Theory

    • Shangjiang Guo, Jianhong Wu
    Pages 153-230

  8. Bifurcation in Symmetric FDEs

    • Shangjiang Guo, Jianhong Wu
    Pages 231-273

  9. Back Matter

    Pages 275-289
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Keywords

About this book

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).

Reviews

“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)

Authors and Affiliations

  • Hunan University College of Math and Econometrics, Changsha Hunan, China, People's Republic

    Shangjiang Guo

  • Department of Mathematics and Statistics, York University, Toronto, Canada

    Jianhong Wu

About the authors

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

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