Singularity theory for non-twist KAM tori
Gonzalez-Enriquez A., Haro A., de la Llave R.
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
Kategori:
Tahun:
2014
Penerbit:
Amer Mathematical Society
Bahasa:
english
Halaman:
128
ISBN 10:
0821890182
ISBN 13:
9780821890189
Nama seri:
Memoirs of the American Mathematical Society 1067
File:
PDF, 824 KB
IPFS:
,
english, 2014