Misc.

Apr, 2007

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

CHAOS SOLITONS & FRACTALS
  • Hiroyuki Kano
    • ,
  • Kazuhlro Nozaki
Volume
32
Number
1
First page
215
Last page
223
Language
English
Publishing type
DOI
10.1016/j.chaos.2005.10.107
Publisher
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.
Link information
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
ID information
  • DOI : 10.1016/j.chaos.2005.10.107
  • ISSN : 0960-0779
  • Web of Science ID : WOS:000242241300023
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