Download E-books Bifurcation Theory: An Introduction with Applications to PDEs (Applied Mathematical Sciences) PDF

By Hansjörg Kielhöfer

Some time past 3 a long time, bifurcation conception has matured right into a well-established and colourful department of arithmetic. This publication 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 idea of one-parameter bifurcations for operators performing in infinite-dimensional Banach areas, and indicates easy methods to practice the speculation to difficulties regarding partial differential equations. as well as life, qualitative houses equivalent to balance and nodal constitution of bifurcating options are handled intensive. This quantity will function an incredible reference for mathematicians, physicists, and theoretically-inclined engineers operating in bifurcation conception and its purposes to partial differential equations.

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