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Exponential Dichotomies and Homoclinic Orbits from Heteroclinic Cycles
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