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Singularity Theory for Non Twist KAM Tori Book PDF Summary

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.

Detail Book of Singularity Theory for Non Twist KAM Tori PDF

Singularity Theory for Non Twist KAM Tori
  • Author : A. González-Enríquez
  • Release : 08 January 2014
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821890189
  • Genre : Mathematics
  • Total Page : 128 pages
  • Language : English
  • PDF File Size : 11,7 Mb

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