Article citationsMore>>

S. N. Chow, B. Deng and D. Terman, “The Bifurcation of a Homoclinic Orbit from Two Heteroclinic Orbits—A Topological Approach,” Applicable Analysis: An International Journal, Vol. 42, No. 1-4, 1991, pp. 1057-1080. doi:10.1080/00036819108840047

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.