Applied Mathematical Sciences

Bifurcation Theory of Functional Differential Equations

Authors: Guo, Shangjiang, Wu, Jianhong

  • ​​ ​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
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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).

About the authors

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

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)


Table of contents (7 chapters)

  • Introduction to Dynamic Bifurcation Theory

    Guo, Shangjiang (et al.)

    Pages 1-40

  • Introduction to Functional Differential Equations

    Guo, Shangjiang (et al.)

    Pages 41-60

  • Center Manifold Reduction

    Guo, Shangjiang (et al.)

    Pages 61-83

  • Normal Form Theory

    Guo, Shangjiang (et al.)

    Pages 85-117

  • Lyapunov–Schmidt Reduction

    Guo, Shangjiang (et al.)

    Pages 119-151

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-1-4614-6992-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-1-4614-6991-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-1-4899-8896-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Bifurcation Theory of Functional Differential Equations
Authors
Series Title
Applied Mathematical Sciences
Series Volume
184
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-6992-6
DOI
10.1007/978-1-4614-6992-6
Hardcover ISBN
978-1-4614-6991-9
Softcover ISBN
978-1-4899-8896-6
Series ISSN
0066-5452
Edition Number
1
Number of Pages
IX, 289
Topics