Singularity Theory for Non-Twist KAM Tori(English, Paperback, Gonzalez-Enriquez A.)
- Gonzalez-Enriquez A.
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Singularity Theory for Non-Twist KAM Tori(English, Paperback, Gonzalez-Enriquez A.) is written by Gonzalez-Enriquez A. and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 0821890182 (ISBN 10) and 9780821890189 (ISBN 13).
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.
