Guo You-zhong, Liu Zeng-rong, Jiang Xia-mei, Han Zhi-bin. Higher-Order Melnikov Method[J]. Applied Mathematics and Mechanics, 1991, 12(1): 19-30.
Citation: Guo You-zhong, Liu Zeng-rong, Jiang Xia-mei, Han Zhi-bin. Higher-Order Melnikov Method[J]. Applied Mathematics and Mechanics, 1991, 12(1): 19-30.

Higher-Order Melnikov Method

  • Received Date: 1989-11-30
  • Publish Date: 1991-01-15
  • 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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