Singularity Theory for Non-Twist KAM Tori

Released on by A. González-Enríquez
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  • Singularity Theory for Non-Twist KAM Tori Book Detail

  • Author : A. González-Enríquez
  • Release Date : 2014-01-08
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 128
  • ISBN 13 : 0821890182
  • File Size : 26,26 MB
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Singularity Theory for Non-Twist KAM Tori by A. González-Enríquez PDF Summary

Book Description: 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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Singularity Theory for Non-Twist KAM Tori

Singularity Theory for Non-Twist KAM Tori

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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 syste

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