eBook Bifurcation Theory of Functional Differential Equations, 1st Edition

  • Published By:
  • ISBN-10: 1461469929
  • ISBN-13: 9781461469926
  • DDC: 515.35
  • Grade Level Range: College Freshman - College Senior
  • 289 Pages | eBook
  • Original Copyright 2013 | Published/Released May 2014
  • This publication's content originally published in print form: 2013
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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).

Table of Contents

Front Cover.
Editorial Board.
Title Page.
Copyright Page.
1: Introduction to Dynamic Bifurcation Theory.
2: Introduction to Functional Differential Equations.
3: Center Manifold Reduction.
4: Normal Form Theory.
5: Lyapunov-Schmidt Reduction.
6: Degree Theory.
7: Bifurcation in Symmetric FDEs.