Abstract
In this paper the Melnikov 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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Dedicated to the Tenth Anniversary and One Hundred Numbers of AMM (I)
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You-zhong, G., Zeng-rong, L., Xia-mei, J. et al. Higher-order Melnikov method. Appl Math Mech 12, 21–32 (1991). https://doi.org/10.1007/BF02018063
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DOI: https://doi.org/10.1007/BF02018063