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Memoirs of the American Mathematical Society
2014; 115 pp; softcover
List Price: US$76
Individual Members: US$45.60
Institutional Members: US$60.80
Order Code: MEMO/227/1067
Not yet published.
Expected publication date is January 6, 2014.
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.
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