Singularity Theory for Non-Twist KAM Tori

Singularity Theory for Non-Twist KAM Tori
Author :
Publisher : American Mathematical Soc.
Total Pages : 128
Release :
ISBN-10 : 9780821890189
ISBN-13 : 0821890182
Rating : 4/5 (182 Downloads)

Book Synopsis Singularity Theory for Non-Twist KAM Tori by : A. González-Enríquez

Download or read book Singularity Theory for Non-Twist KAM Tori written by A. González-Enríquez and published by American Mathematical Soc.. This book was released on 2014-01-08 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Singularity Theory for Non-Twist KAM Tori Related Books

Singularity Theory for Non-Twist KAM Tori
Language: en
Pages: 128
Authors: A. González-Enríquez
Categories: Mathematics
Type: BOOK - Published: 2014-01-08 - Publisher: American Mathematical Soc.

GET EBOOK

In this monograph the authors introduce a new method to study bifurcations of KAM tori with fixed Diophantine frequency in parameter-dependent Hamiltonian syste
The Parameterization Method for Invariant Manifolds
Language: en
Pages: 280
Authors: Àlex Haro
Categories: Mathematics
Type: BOOK - Published: 2016-04-18 - Publisher: Springer

GET EBOOK

This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: i
Operator-Valued Measures, Dilations, and the Theory of Frames
Language: en
Pages: 98
Authors: Deguang Han
Categories: Mathematics
Type: BOOK - Published: 2014-04-07 - Publisher: American Mathematical Soc.

GET EBOOK

The authors develop elements of a general dilation theory for operator-valued measures. Hilbert space operator-valued measures are closely related to bounded li
A Homology Theory for Smale Spaces
Language: en
Pages: 136
Authors: Ian F. Putnam
Categories: Mathematics
Type: BOOK - Published: 2014-09-29 - Publisher: American Mathematical Soc.

GET EBOOK

The author develops a homology theory for Smale spaces, which include the basics sets for an Axiom A diffeomorphism. It is based on two ingredients. The first i
Index Theory for Locally Compact Noncommutative Geometries
Language: en
Pages: 142
Authors: A. L. Carey
Categories: Mathematics
Type: BOOK - Published: 2014-08-12 - Publisher: American Mathematical Soc.

GET EBOOK

Spectral triples for nonunital algebras model locally compact spaces in noncommutative geometry. In the present text, the authors prove the local index formula