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P. Chossat, M. Krupa, I. Melbourne and A. Scheel, “Trans- verse Bifurcations of Homkoclinic Cycles,” Physica D: Nonlinear Phenomena, Vol. 100, No. 1-2, 2011, pp. 85-100. doi:10.1016/S0167-2789(96)00186-8

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.