The breakup condition of shearless KAM curves in the quadratic map

Susumu Shinohara, Yoji Aizawa

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

We determined the exact location of the shearless KAM curve in the quadratic map and numerically investigate the breakup thresholds of those curves in the entire parameter space. The breakup diagram reveals many sharp singularities like fractals on the reconnection thresholds of the twin-chains with rational rotation numbers.

Original languageEnglish
Pages (from-to)379-385
Number of pages7
JournalProgress of Theoretical Physics
Volume97
Issue number3
Publication statusPublished - 1997 Mar

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thresholds
curves
fractals
diagrams

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

The breakup condition of shearless KAM curves in the quadratic map. / Shinohara, Susumu; Aizawa, Yoji.

In: Progress of Theoretical Physics, Vol. 97, No. 3, 03.1997, p. 379-385.

Research output: Contribution to journalArticle

Shinohara, S & Aizawa, Y 1997, 'The breakup condition of shearless KAM curves in the quadratic map', Progress of Theoretical Physics, vol. 97, no. 3, pp. 379-385.
Shinohara, Susumu ; Aizawa, Yoji. / The breakup condition of shearless KAM curves in the quadratic map. In: Progress of Theoretical Physics. 1997 ; Vol. 97, No. 3. pp. 379-385.
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