Singularity Theory for Non-Twist KAM Tori

Download or read book Singularity Theory for Non-Twist KAM Tori written by A. González-Enríquez and published by American Mathematical Soc.. This book was released on 2014-01-08 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.