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J. Guckenheimer and P. Holmes, “Strucarrlly Stable Pulse Heteroclinic Cycles,” Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 103, No. 1, 2008, pp. 189-192. doi:10.1017/S0305004100064732

has been cited by the following article:

• TITLE: Exponential Dichotomies and Homoclinic Orbits from Heteroclinic Cycles

  AUTHORS: Tiejun Chen, Yu Xiang, Yuxiao Chen

  KEYWORDS: Exponential Dichotomies; Homoclinic Orbits; Heteroclinic Cycle; Melnikov Function

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.2 No.2, June 21, 2012

  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.