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

T. Chen, Y. Xiang and Y. Chen, "Exponential Dichotomies and Homoclinic Orbits from Heteroclinic Cycles," American Journal of Computational Mathematics, Vol. 2 No. 2, 2012, pp. 106-113. doi: 10.4236/ajcm.2012.22014.