By Hansjörg Kielhöfer
In the previous 3 many years, bifurcation conception has matured right into a well-established and colourful department of arithmetic. This booklet provides a unified presentation in an summary atmosphere of the most theorems in bifurcation idea, in addition to more moderen and lesser identified effects. It covers either the neighborhood and international conception of one-parameter bifurcations for operators appearing in infinite-dimensional Banach areas, and indicates easy methods to observe the idea to difficulties concerning partial differential equations. as well as life, qualitative homes equivalent to balance and nodal constitution of bifurcating options are taken care of extensive. This quantity will function a big 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 further. between this is often 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 software of this technique to extra advanced nonconvex variational problems.
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