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.