By Hansjörg Kielhöfer
In the previous 3 many years, bifurcation conception has matured right into a well-established and colourful department of arithmetic. This ebook supplies a unified presentation in an summary environment of the most theorems in bifurcation conception, in addition to newer and lesser recognized effects. It covers either the neighborhood and international concept of one-parameter bifurcations for operators performing in infinite-dimensional Banach areas, and indicates tips to follow the idea to difficulties regarding partial differential equations. as well as life, qualitative homes akin to balance and nodal constitution of bifurcating options are handled extensive. This quantity will function a huge reference for mathematicians, physicists, and theoretically-inclined engineers operating in bifurcation concept and its functions to partial differential equations.
The moment version is considerably and officially revised and new fabric is extra. between this is often bifurcation with a two-dimensional kernel with purposes, the buckling of the Euler rod, the looks of Taylor vortices, the singular restrict technique of the Cahn-Hilliard version, and an program of this system to extra advanced nonconvex variational problems.
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Extra info for Bifurcation Theory: An Introduction with Applications to Partial Differential Equations: 156 (Applied Mathematical Sciences)
Bifurcation Theory: An Introduction with Applications to Partial Differential Equations: 156 (Applied Mathematical Sciences) by Hansjörg Kielhöfer