The Breakup Condition of Shearless KAM Curves in the Quadratic Map

Details The Breakup Condition of Shearless KAM Curves in the Quadratic Map The Breakup Condition of Shearless KAM Curves in the Quadratic Map

1997-03-19

arxiv.org/abs/chao-dyn/9703011v1

Nonlinear Sciences

Chaotic Dynamics

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

Scientific paper

10.1143/PTP.97.379

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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