Singularity Theory for Non-Twist Kam Tori (Memoirs of the American Mathematical Society)

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9780821890189: Singularity Theory for Non-Twist Kam Tori (Memoirs of the American Mathematical Society)

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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About the Author:

A. Gonzalez-Enriquez and A. Haro , Universitat de Barcelona, Spain R. de la Llave , Georgia Institute of Technology, Atlanta, GA, USA

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Book Description American Mathematical Society, United States, 2014. Paperback. Book Condition: New. Language: English . Brand New Book. 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. Bookseller Inventory # AAN9780821890189

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Alejandra Gonzalez-Enriquez, Alex Haro, R. De LA Llave
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Book Description American Mathematical Society, United States, 2014. Paperback. Book Condition: New. Language: English . Brand New Book. 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. Bookseller Inventory # AAN9780821890189

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