Exponential Dichotomies and Homoclinic Orbits from Heteroclinic Cycles

Tiejun Chen, Yu Xiang, Yuxiao Chen
2012 American Journal of Computational Mathematics  
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.
doi:10.4236/ajcm.2012.22014 fatcat:7f3swavayrbovca4iko7zvb7ci