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High-Order Melnikov Method for Time-Periodic Equations

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First Author : Fengjuan Chen

Date of Publication : 2017-01-01

Journal : Advanced Nonlinear Studies

Affiliation of Author(s) : 数理与信息工程学院

Document Type : 期刊

Volume : Vol.17

Issue : No.4

ISSN : 1536-1365;2169-0375

Key Words : High-Order Melnikov Method;Time-Periodic Equation;Transversal Homoclinic Intersection

Abstract : This paper discusses a high-order Melnikov method for periodically perturbed equations. We introduce a new method to compute M k ( t 0 ) for all k ≥ 0 , among which M 0 ( t 0 ) is the traditional Melnikov function, and M 1 ( t 0 ) , M 2 ( t 0 ) , … are it

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