K. J. Palmer, “Exponential Dichotomies and Transversal Homoclinic Points,” Journal of Differential Equations, Vol. 55, No. 2, 1984, pp. 225-256. doi:10.1016/0022-0396(84)90082-2
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.