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AuthorKielhรถfer, Hansjรถrg. author
TitleBifurcation Theory [electronic resource] : An Introduction with Applications to PDEs / by Hansjรถrg Kielhรถfer
ImprintNew York, NY : Springer New York : Imprint: Springer, 2004
Connect tohttp://dx.doi.org/10.1007/b97365
Descript VIII, 348 p. 38 illus. online resource

SUMMARY

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


CONTENT

Local Theory -- Global Theory -- Applications


Mathematics Dynamics Ergodic theory Partial differential equations Applied mathematics Engineering mathematics Mechanics Mechanics Applied Mathematics Partial Differential Equations Dynamical Systems and Ergodic Theory Applications of Mathematics Theoretical and Applied Mechanics



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