Acta mathematica scientia,Series B ›› 1996, Vol. 16 ›› Issue (1): 113-120.
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Zeng Weiyao1, Qian Xiangzheng2, Wang Zhicheng2
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Abstract: 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].
Key words: Exponential dichotomies, homoclinic orbits, Melnikov functions
Zeng Weiyao, Qian Xiangzheng, Wang Zhicheng. EXPONENTIAL DICHOTOMIES,HOMOCLINIC ORBITS AND METHODS OF MELNIKOV[J].Acta mathematica scientia,Series B, 1996, 16(1): 113-120.
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