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Singularity Theory for Non-Twist KAM Tori

Singularity Theory for Non-Twist KAM Tori - Memoirs of the American Mathematical Society

Paperback (30 Jan 2014)

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Publisher's Synopsis

In this monograph the authors introduce a new method to study bifurcations of KAM tori with fixed Diophantine frequency in parameter-dependent Hamiltonian systems. It is based on Singularity Theory of critical points of a real-valued function which the authors call the potential. The potential is constructed in such a way that: nondegenerate critical points of the potential correspond to twist invariant tori (i.e. with nondegenerate torsion) and degenerate critical points of the potential correspond to non-twist invariant tori. Hence, bifurcating points correspond to non-twist tori.

Book information

ISBN: 9780821890189
Publisher: American Mathematical Society
Imprint: American Mathematical Society
Pub date:
DEWEY: 515.39
DEWEY edition: 23
Language: English
Number of pages: vi, 115
Weight: 354g