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- W2328149770 abstract "We consider two-degree-of-freedom Hamiltonian systems with saddle-centers, and develop a Melnikov-type technique for detecting creation of transverse homoclinic orbits by higher-order terms.We apply the technique to the generalized Hénon-Heiles system and give a positive answer to a remaining question of whether chaotic dynamics occurs for some parameter values although it is known to be nonintegrable in a complex analytical meaning." @default.
- W2328149770 created "2016-06-24" @default.
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- W2328149770 date "2011-01-01" @default.
- W2328149770 modified "2023-09-27" @default.
- W2328149770 title "Higher-order Melnikov method and chaos for two-degree-of-freedom Hamiltonian systems with saddle-centers" @default.
- W2328149770 cites W1987316669 @default.
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- W2328149770 doi "https://doi.org/10.3934/dcds.2011.29.387" @default.
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