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Prog. Theor. Phys. Vol. 97 No. 3 (1997) pp. 379-385
The Breakup Condition of Shearless KAM Curves in the Quadratic Map
Susumu Shinohara and
Yoji Aizawa
Department of Applied Physics, Waseda University, Tokyo 169
(Received November 11, 1996)
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.
URL :
http://ptp.ipap.jp/link?PTP/97/379/
DOI : 10.1143/PTP.97.379
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Citing Article(s) :
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Progress of Theoretical Physics Vol. 100 No. 2 (1998) pp. 219-233
:
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Indicators of Reconnection Processes and Transition to Global Chaos in Nontwist Maps
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Susumu Shinohara and Yoji Aizawa
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Progress of Theoretical Physics Vol. 101 No. 1 (1999) pp. 1-24
:
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A Remark on the Smoothness of Critical KAM Curves in the Standard Mapping
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Yoshihiro Yamaguchi and Kiyotaka Tanikawa
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Progress of Theoretical Physics Supplement No.139 (2000) pp. 527-534
:
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On the Diagram for the Onset of Global Chaos and Reconnection Phenomena in the Quadratic Nontwist Map
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Susumu Shinohara and Yoji Aizawa
