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Singularity Theory for Non-Twist Kam Tori (Memoirs of the American Mathematical Society)

Posted By: Nice_smile)
Date: 15 Feb 2017 10:10:54
Singularity Theory for Non-Twist Kam Tori (Memoirs of the American Mathematical Society)

Singularity Theory for Non-Twist Kam Tori (Memoirs of the American Mathematical Society) by A. Gonzalez-enriquez
English | 2014 | ISBN: 0821890182 | 115 Pages | PDF | 823.92 KB

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.
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