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The Breakup Condition of Shearless KAM Curves in the Quadratic Map

Susumu Shinohara·Yoji Aizawa
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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.

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Susumu Shinohara, Yoji Aizawa. 1997-03-19. The Breakup Condition of Shearless KAM Curves in the Quadratic Map. https://doi.org/10.1143/ptp.97.379

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