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M. Krupa and I. Melbourne, “Asymptotic Stability of Heteroclinic Cycles in Systems with Symmetry,” Proceedings of the Royal Society of Edinburgh: Section A Mathematics, Vol. 134, No. 6, 2004, pp. 1177-1197. doi:10.1017/S0308210500003693

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.