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Singularity Theory for Non-Twist KAM Tori

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Singularity Theory for Non-Twist KAM Tori 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.

About This Edition

ISBN: 9780821890189
Publication date:
Author: A GonzálezEnríquez, A Haro, Rafael De la Llave
Publisher: American Mathematical Society
Format: Paperback
Pagination: 115 pages
Series: Memoirs of the American Mathematical Society
Genres: Differential calculus and equations