By Hansjörg Kielhöfer
In the earlier 3 many years, bifurcation conception has matured right into a well-established and colourful department of arithmetic. This publication supplies a unified presentation in an summary atmosphere of the most theorems in bifurcation conception, in addition to newer and lesser recognized effects. It covers either the neighborhood and worldwide idea of one-parameter bifurcations for operators performing in infinite-dimensional Banach areas, and indicates tips on how to follow the idea to difficulties concerning partial differential equations. as well as lifestyles, qualitative homes corresponding to balance and nodal constitution of bifurcating ideas are taken care of intensive. This quantity will function an immense reference for mathematicians, physicists, and theoretically-inclined engineers operating in bifurcation conception and its functions to partial differential equations.
The moment variation is considerably and officially revised and new fabric is additional. 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 software of this technique to extra complex nonconvex variational problems.
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Additional resources 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