Applied Mathematical Sciences 156Bifurcation theory an introduction with applications [1ed.]9780387404011, 0-387-40401-5, 0387404015

Author : Hansjrg Kielhfer
Description:In the past three decades, bifurcation theory has matured into a well-established and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of the main theorems in bifurcation theory, as well as more recent and lesser known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involving partial differential equations. In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth. This volume will serve as an important reference for mathematicians, physicists, and theoretically-inclined engineers working in bifurcation theory and its applications to partial differential equations.
Categories: Physics Mechanics: Nonlinear dynamics and chaos
Year :2003
Publisher : Springer
Language : English
N° Of Pages : 352
File Info : pdf 5 Mb