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).
Spis treści
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.O autorze
Shangjiang Guo is a Professor at Hunan University. Jianhong Wu is a Professor at York University.
Język Angielski ● Format PDF ● Strony 289 ● ISBN 9781461469926 ● Rozmiar pliku 3.4 MB ● Wydawca Springer New York ● Miasto NY ● Kraj US ● Opublikowany 2013 ● Do pobrania 24 miesięcy ● Waluta EUR ● ID 2772370 ● Ochrona przed kopiowaniem Społeczny DRM