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

Hiroyuki Kano and Kazuhiro Nozaki

Chaos, Solitons & Fractals, 2007, vol. 32, issue 1, 215-223

Abstract: 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 Poincaré–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.

Date: 2007
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077905010672
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:32:y:2007:i:1:p:215-223

DOI: 10.1016/j.chaos.2005.10.107

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().