B. Sandstede and A. Scheel, “Forced Symmetry Breaking of Homoclinic Cycles,” Nonlinearity, Vol. 8, No. 3, 2009, pp. 333-365. doi:10.1088/0951-7715/8/3/003
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.