MISC

2007年4月

Perturbative renormalization analysis of the Poincare-Birkhoff resonance in 2-D symplectic map

CHAOS SOLITONS & FRACTALS
  • Hiroyuki Kano
  • ,
  • Kazuhlro Nozaki

32
1
開始ページ
215
終了ページ
223
記述言語
英語
掲載種別
DOI
10.1016/j.chaos.2005.10.107
出版者・発行元
PERGAMON-ELSEVIER SCIENCE LTD

A perturbative analysis based on the renormalization method shows that the period-four torus near an elliptic fixed point of the radially twist map goes through not only the Poincare-Birkhoff bifurcation but also an exchange-type bifurcation and the global ballooning of resonant islands. The appearance of the exchange-type bifurcation is found to be closely connected to the Suris' integrable maps. (c) 2005 Elsevier Ltd. All rights reserved.

Web of Science ® 被引用回数 : 2

リンク情報
DOI
https://doi.org/10.1016/j.chaos.2005.10.107
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000242241300023&DestApp=WOS_CPL

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