Bifurcations of heterodimensional cycles with two saddle points

Fengjie Geng, Deming Zhu and Yancong Xu

Chaos, Solitons & Fractals, 2009, vol. 39, issue 5, 2063-2075

Abstract: The bifurcations of 2-point heterodimensional cycles are investigated in this paper. Under some generic conditions, we establish the existence of one homoclinic loop, one periodic orbit, two periodic orbits, one 2-fold periodic orbit, and the coexistence of one periodic orbit and heteroclinic loop. Some bifurcation patterns different to the case of non-heterodimensional heteroclinic cycles are revealed.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:39:y:2009:i:5:p:2063-2075

DOI: 10.1016/j.chaos.2007.06.077

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