Bifurcation Theory of Functional Differential Equations

Softcover Nachdruck of the original 1. Auflage 2013
ISBN: 978-1-4899-8896-6
Verlag: Springer

Buch, Englisch, Band 184, 289 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 4569 g

Reihe: Applied Mathematical Sciences

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).

Zielgruppe

Research

Autoren/Hrsg.

Wu, Jianhong

Guo, Shangjiang

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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.

Über Autor(innen)

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