R. J. Sacker and G. R. Sell, “A Spectral Theory for Linear Differential Systems,” Journal of Differential Equations, Vol. 27, No. 3, 1978, pp. 320-385. doi:10.1016/0022-0396(78)90057-8
has been cited by the following article:
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.