Email this article Stability of Equilibrium Points for a Hamiltonian Systems with One Degree of Freedom in One Degenerate Case
- Authors: Gutierrez R.1, Vidal C.2
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Affiliations:
- Departamento de Matemática, Facultad de Ciencias
- Grupo de Investigación en Sistemas Dinámicos y Aplicaciones-GISDA Departamento de Matemática, Facultad de Ciencias
- Issue: Vol 22, No 7 (2017)
- Pages: 880-892
- Section: Article
- URL: https://ogarev-online.ru/1560-3547/article/view/218894
- DOI: https://doi.org/10.1134/S1560354717070097
- ID: 218894
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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].
About the authors
Rodrigo Gutierrez
Departamento de Matemática, Facultad de Ciencias
Author for correspondence.
Email: rodrigo.gutierrez1501@alumnos.ubiobio.cl
Chile, 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
Chile, Casilla 5-C, Concepción, VIII-Región
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