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Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (1): 21-32.

• 论文 • 上一篇    下一篇

HIGHER-ORDER MELNIKOV METHOD

郭友中1, 刘曾荣2, 江霞妹3, 韩志斌3   

  1. 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai;
    2. LNM Institute of Mechanics, Academia Sinica, Beijing;
    3. Wuhan Institute of Industrial and Applied Mathematics, Wuhan
  • 收稿日期:1989-11-30 出版日期:1991-01-18 发布日期:1991-01-18

HIGHER-ORDER MELNIKOV METHOD

Guo You-zhong1, Liu Zeng-rong2, Jiang Xia-mei3, Han Zhi-bin3   

  1. 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai;
    2. LNM Institute of Mechanics, Academia Sinica, Beijing;
    3. Wuhan Institute of Industrial and Applied Mathematics, Wuhan
  • Received:1989-11-30 Online:1991-01-18 Published:1991-01-18

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摘要： In this paper the Melnikoy method has been generalized to the case of higher-order by finding an explicit expression for second-order subharmonic Melnikov function, and it has been proved that the existence of subharmonic or hyper-subharmonic of a system can be proved under certain conditions by use of second-order Melnikov function.

Abstract: In this paper the Melnikoy method has been generalized to the case of higher-order by finding an explicit expression for second-order subharmonic Melnikov function, and it has been proved that the existence of subharmonic or hyper-subharmonic of a system can be proved under certain conditions by use of second-order Melnikov function.

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