Author(s)

Tiejun Chen, Yu Xiang, Yuxiao Chen

Yiyang Medical College Hunan Pro of China, Yiyang, China.

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.

Exponential Dichotomies; Homoclinic Orbits; Heteroclinic Cycle; Melnikov Function

Chen, T. , Xiang, Y. and Chen, Y. (2012) Exponential Dichotomies and Homoclinic Orbits from Heteroclinic Cycles. American Journal of Computational Mathematics, 2, 106-113. doi: 10.4236/ajcm.2012.22014.