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EXPONENTIAL DICHOTOMIES,HOMOCLINIC ORBITS AND METHODS OF MELNIKOV
Zeng Weiyao, Qian Xiangzheng, Wang Zhicheng
Acta mathematica scientia,Series B. 1996, 16 (1):
113-120.
In this paper we construct, by using the theory of exponential dichotomies,a Melnikov-type function by which we can detect the existence of homoclinic orbits for the perturbed systems.Our result of this paper may be complementary to that of K.J.Palmer[3].
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