Robust transport barriers resulting from strong Kolmogorov-Arnold-Moser stability

I. I. Rypina, M. G. Brown, F. J. Beron-Vera, H. Koçak, M. J. Olascoaga, I. A. Udovydchenkov

Research output: Contribution to journalArticle

36 Scopus citations

Abstract

Hamiltonian systems that locally violate the twist condition arise in many applications. Numerical simulations reveal that, when systems of this type are perturbed, the degenerate or nontwist tori are remarkably stable. This phenomenon, which we refer to as strong Kolmogorov-Arnold-Moser (KAM) stability, is shown to be linked to very small resonance widths near degenerate tori. Quantitative estimates of degenerate resonance widths are derived and bifurcations of degenerate resonances are described. Strong KAM stability leads to robust transport barriers, which are important in all of the many applications in which Hamilitonians with the nontwist property arise.

Original languageEnglish (US)
Article number104102
JournalPhysical Review Letters
Volume98
Issue number10
DOIs
StatePublished - Mar 8 2007

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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