Complex dynamics in discrete delayed models with D4 symmetry

Mingshu Peng and Yuan Yuan

Chaos, Solitons & Fractals, 2008, vol. 37, issue 2, 393-408

Abstract: In this paper, we consider nonlinear time-delayed models with four identical resonators. Detailed analysis about equivariant bifurcations coupled with the Lie group actions on vector spaces is offered, including equivariant Neimark–Sacker bifurcations, equivariant pitchfork bifurcations and equivariant periodic doubling bifurcations. Pattern formation, spatio-temporal behavior and mode interactions are shown in a discrete nonlinear optical model involving a time-delayed feedback.

Date: 2008
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077906008708
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:37:y:2008:i:2:p:393-408

DOI: 10.1016/j.chaos.2006.08.048

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. ().