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.

arXiv comment5 latex pages, 5 postscript figures, to be published in Prog.Theor.Phys

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