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Stability of Equilibrium Points for a Hamiltonian Systems with One Degree of Freedom in One Degenerate Case

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This paper concerns with the study of the stability of one equilibrium solution of an autonomous analytic Hamiltonian system in a neighborhood of the equilibrium point with 1-degree of freedom… Click to show full abstract

This paper concerns with the study of the stability of one equilibrium solution of an autonomous analytic Hamiltonian system in a neighborhood of the equilibrium point with 1-degree of freedom in the degenerate case H = q4 + H5 + H6 +.... Our main results complement the study initiated by Markeev in [9].

Keywords: degree freedom; stability; equilibrium; degenerate case

Journal Title: Regular and Chaotic Dynamics
Year Published: 2017

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