By Hansjörg Kielhöfer
In the earlier 3 many years, bifurcation thought has matured right into a well-established and colourful department of arithmetic. This publication offers a unified presentation in an summary environment of the most theorems in bifurcation idea, in addition to newer and lesser identified effects. It covers either the neighborhood and international thought of one-parameter bifurcations for operators appearing in infinite-dimensional Banach areas, and exhibits how one can practice the idea to difficulties regarding partial differential equations. as well as lifestyles, qualitative homes comparable to balance and nodal constitution of bifurcating strategies 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 version is considerably and officially revised and new fabric is extra. between this can be bifurcation with a two-dimensional kernel with functions, the buckling of the Euler rod, the looks of Taylor vortices, the singular restrict means of the Cahn-Hilliard version, and an program of this technique to extra advanced 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