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.
ISBN: | 9780821890189 |
Publication date: | 30th January 2014 |
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 |