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American Mathematical Society Bifurcation Theory: 246.S (Graduate Studies in Mathematics)

Name: Bifurcation Theory: 246.S (Graduate Studies in Mathematics)
Brand: American Mathematical Society
Price: 63.67 GBP
Availability: InStock

Higher Education

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Description

This textbook provides a thorough overview of bifurcation theory. Assuming some familiarity with differential equations and dynamical systems, it is suitable for use on advanced undergraduate and graduate level and can, in particular, be used for a graduate course on bifurcation theory. The book combines a solid theoretical basis with a detailed description of classical bifurcations. It is organized in chapters on local, nonlocal, and global bifurcations; a number of appendices develop the toolbox for the study of bifurcations. The discussed local bifurcations include saddle-node and Hopf bifurcations, as well as the more advanced Bogdanov-Takens and Neimark-Sacker bifurcations. The book also covers nonlocal bifurcations, discussing various homoclinic bifurcations, and it surveys global bifurcations and phenomena, such as intermittency and period-doubling cascades. The book develops a broad range of complementary techniques, both geometric and analytic, for studying bifurcations. Techniques include normal form methods, center manifold reductions, the Lyapunov-Schmidt construction, cross-coordinate constructions, Melnikov's method, and Lin's method. Full proofs of the results are provided, also for the material in the appendices. This includes proofs of the stable manifold theorem, of the center manifold theorem, and of Lin's method for studying homoclinic bifurcations.

Product Specifications

Brand: American Mathematical Society
Format: paperback
ASIN: 1470478803
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Education > Higher Education
Domain: Amazon UK
Release Date: 31 January 2025
Listed Since: 22 January 2025

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American Mathematical Society Bifurcation Theory: 246.S (Graduate Studies in Mathematics)

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American Mathematical Society Bifurcation Theory: 246.S (Graduate Studies in Mathematics)

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