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S. N. Chow, B. Deng and D. Terman, “The Bifurcations of a Homoclinic and a Periodic Orbit from Two Hetero- clinic Orbits,” SIAM Journal on Mathematical Analysis, Vol. 21, No. 1, 2000, pp. 179-204. doi:10.1137/0521010

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.