Singularity Theory for Non-Twist KAM Tori - Memoirs of the American Mathematical Society (Paperback)
  • Singularity Theory for Non-Twist KAM Tori - Memoirs of the American Mathematical Society (Paperback)
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Singularity Theory for Non-Twist KAM Tori - Memoirs of the American Mathematical Society (Paperback)

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£72.95
Paperback 115 Pages / Published: 30/01/2014
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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.

Publisher: American Mathematical Society
ISBN: 9780821890189
Number of pages: 115
Dimensions: 254 x 178 mm

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