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Exponential Dichotomies and Homoclinic Orbits from Heteroclinic Cycles

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DOI: 10.4236/ajcm.2012.22014    3,060 Downloads   5,701 Views  

ABSTRACT

In this paper, we investigate the homoclinic bifurcations from a heteroclinic cycle by using exponential dichotomies. We give a Melnikov—type condition assuring the existence of homoclinic orbits form heteroclinic cycle. We improve some important results.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

T. Chen, Y. Xiang and Y. Chen, "Exponential Dichotomies and Homoclinic Orbits from Heteroclinic Cycles," American Journal of Computational Mathematics, Vol. 2 No. 2, 2012, pp. 106-113. doi: 10.4236/ajcm.2012.22014.

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