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Item Details
Title: SINGULARITY THEORY FOR NON-TWIST KAM TORI
By: Alejandra Gonzalez-Enriquez, Alex Haro, R. de la Llave
Format: Paperback

List price: £71.00


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ISBN 10: 0821890182
ISBN 13: 9780821890189
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 1 January, 2014
Series: Memoirs of the American Mathematical Society 227, 1067
Pages: 115
Synopsis: 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.
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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