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• W2918869082 abstract "The main purpose of this paper is to study the complexity of some Hamiltonian systems from the view of nonintegrability, including the planar Hamiltonian with Nelson potential, double-well potential, and the perturbed elliptic oscillators Hamiltonian. Some numerical analyses show that the dynamic behavior of these systems is very complex and in fact chaotic in a large range of their parameter. I prove that these Hamiltonian systems are nonintegrable in the sense of Liouville. My proof is based on the analysis of normal variational equations along some particular solutions and the investigation of their differential Galois group." @default.
• W2918869082 created "2019-03-11" @default.
• W2918869082 creator A5034324632 @default.
• W2918869082 date "2019-03-03" @default.
• W2918869082 modified "2023-09-24" @default.
• W2918869082 title "Complex Dynamics of Some Hamiltonian Systems: Nonintegrability of Equations of Motion" @default.
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• W2918869082 doi "https://doi.org/10.1155/2019/9326947" @default.
• W2918869082 hasPublicationYear "2019" @default.
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