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Prog. Theor. Phys. Vol. 115 No. 2 (2006) pp. 251-258
Analytical Expression for Low-Dimensional Resonance Islands in a 4-Dimensional Symplectic Map
Shin-itiro Goto
Department of Applied Mathematics and Physics,
Kyoto University, Kyoto 606-8501, Japan
(Received October 31, 2005)
Abstract:
We study 2- and 4-dimensional nearly integrable symplectic
maps using a singular perturbation method.
Resonance island structures in the 2- and 4-dimensional maps are
obtained. The validity of these perturbative results
are confirmed numerically.
URL :
http://ptp.ipap.jp/link?PTP/115/251/
DOI : 10.1143/PTP.115.251
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Citing Article(s) :
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Progress of Theoretical Physics Vol. 118 No. 2 (2007) pp. 211-227
:
-
Renormalization Reductions for Systems with Delay
-
Shin-itiro Goto
