Periodic Orbits for a Fifth-Order Generalized Hénon–Heiles Hamiltonian System

M. Alvarez-Ramírez,J. Lino Cornelio,M. Medina

Lobachevskii Journal of Mathematics（2022）

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摘要

In this paper we study the periodic orbits of the Hamiltonian system with a fifth-order generalized Hénon–Heiles potential and its 𝒞^1 non-integrability in the sense of Liouville–Arnold.

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关键词

averaging method,periodic solution,non-integrability

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