Vetenskap & teknik
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Singularity Theory for Non-Twist KAM Tori
A Gonzalez-Enriquez • A Haro • R De La Llave
1629:-
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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.
- Format: Pocket/Paperback
- ISBN: 9780821890189
- Språk: Engelska
- Antal sidor: 115
- Utgivningsdatum: 2014-01-30
- Förlag: American Mathematical Society