The breakup condition of shearless KAM curves in the quadratic map

Susumu Shinohara; Yoji Aizawa

The breakup condition of shearless KAM curves in the quadratic map

Susumu Shinohara, Yoji Aizawa

Waseda University

Research output: Contribution to journal › Article › peer-review

29 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 language	English
Pages (from-to)	379-385
Number of pages	7
Journal	Progress of Theoretical Physics
Volume	97
Issue number	3
Publication status	Published - 1997 Mar

ASJC Scopus subject areas

Physics and Astronomy(all)

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title = "The breakup condition of shearless KAM curves in the quadratic map",

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.",

author = "Susumu Shinohara and Yoji Aizawa",

year = "1997",

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