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 in the degenerate case H = q4 + H5 + H6 +.... Our main results complement the study initiated by Markeev in [9].

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Rodrigo Gutierrez

Departamento de Matemática, Facultad de Ciencias

编辑信件的主要联系方式.
Email: rodrigo.gutierrez1501@alumnos.ubiobio.cl
智利, Casilla 5-C, Concepción, VIII-Región

Claudio Vidal

Grupo de Investigación en Sistemas Dinámicos y Aplicaciones-GISDA Departamento de Matemática, Facultad de Ciencias

Email: rodrigo.gutierrez1501@alumnos.ubiobio.cl
智利, Casilla 5-C, Concepción, VIII-Región

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