Breakup of Kolmogorov-Arnold-Moser tori of arbitrary frequency in a two-parameter system

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7 Citations (Scopus)

Abstract

In the extended standard map, the critical line for breakup of an invariant circle contains, for almost all rotation numbers, a Cantor set of cusps in parameter space. The Farey route to a given rotation number illustrates how the cusps appear and allows the characterization of their pattern. The fact that the cusp-splitting rules seem attainable by the Farey route rather than by the convergents must be incorporated in the renormalization theory.

Original languageEnglish
Pages (from-to)775-780
Number of pages6
JournalPhysical Review A
Volume42
Issue number2
DOIs
Publication statusPublished - 1 Jan 1990
MoE publication typeNot Eligible

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abstract = "In the extended standard map, the critical line for breakup of an invariant circle contains, for almost all rotation numbers, a Cantor set of cusps in parameter space. The Farey route to a given rotation number illustrates how the cusps appear and allows the characterization of their pattern. The fact that the cusp-splitting rules seem attainable by the Farey route rather than by the convergents must be incorporated in the renormalization theory.",
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Breakup of Kolmogorov-Arnold-Moser tori of arbitrary frequency in a two-parameter system. / Ketoja, Jukka A.

In: Physical Review A, Vol. 42, No. 2, 01.01.1990, p. 775-780.

Research output: Contribution to journalArticleScientificpeer-review

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