Bifurcation theory of functional differential equations Shangjiang Guo, Jianhong Wu

Format:

Book

Author/Creator:

Guo, Shangjiang, author.

Wu, Jianhong, 1964- author.

Series:

Applied mathematical sciences (Springer-Verlag New York Inc.) v. 184

Applied Mathematical Sciences v. 184

Language:

English

Subjects (All):

Bifurcation theory.

Functional differential equations.

Physical Description:

1 online resource

Place of Publication:

New York, NY Springer 2013

Language Note:

English

System Details:

text file

PDF

Summary:

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)

Contents:

Introduction to Dynamic Bifurcation Theory Introduction to Functional Differential Equations Center Manifold Reduction Normal Form Theory Lyapunov-Schmidt Reduction Degree Theory Bifurcation in Symmetric FDEs

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (SpringerLink, viewed August 20, 2013)

Other Format:

Printed edition:

ISBN:

9781461469926

1461469929

OCLC:

856996154

Access Restriction:

Restricted for use by site license