Codimension 2 bifurcations of double homoclinic loops

Weipeng Zhang and Deming Zhu

Chaos, Solitons & Fractals, 2009, vol. 39, issue 1, 295-303

Abstract: In this work, the double-homoclinic-loop bifurcations in four dimensional vector fields are investigated by setting up local coordinates near the double homoclinic loops. We get the existence, uniqueness and incoexistence of the large 1-hom and large 1-per orbit, and their corresponding existence regions are located. Furthermore, the inexistence of the large 2-hom and large 2-per orbit are also demonstrated.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:39:y:2009:i:1:p:295-303

DOI: 10.1016/j.chaos.2007.01.101

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