H. Kokubu, “Homoclinic and Heteroclinic Bifurcations of Vector Fields,” Japan Journal of Industrial and Applied Mathematics, Vol. 5, No. 3, 1988, pp. 455-501. doi:10.1007/BF03167912
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.