数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (1): 113-120.

• 论文 • 上一篇    

EXPONENTIAL DICHOTOMIES,HOMOCLINIC ORBITS AND METHODS OF MELNIKOV

曾唯尧1, 钱祥征2, 王志成2   

  1. 1. Dept. of Math., Hunan Light Industrial College, Changsha 410007, China;
    2. Dept. of Math., Hunan University, Changsha 410082, China
  • 收稿日期:1993-02-06 修回日期:1994-11-05 出版日期:1996-03-25 发布日期:1996-03-25
  • 基金资助:
    Supported by NSF of China.

EXPONENTIAL DICHOTOMIES,HOMOCLINIC ORBITS AND METHODS OF MELNIKOV

Zeng Weiyao1, Qian Xiangzheng2, Wang Zhicheng2   

  1. 1. Dept. of Math., Hunan Light Industrial College, Changsha 410007, China;
    2. Dept. of Math., Hunan University, Changsha 410082, China
  • Received:1993-02-06 Revised:1994-11-05 Online:1996-03-25 Published:1996-03-25
  • Supported by:
    Supported by NSF of China.

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摘要： 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].

关键词: Exponential dichotomies, homoclinic orbits, Melnikov functions

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

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