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

Stability of Equilibrium Points for a Hamiltonian Systems with One Degree of Freedom in One... 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 = q 4 + H 5 + H 6 +.... Our main results complement the study initiated by Markeev in [9]. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Regular and Chaotic Dynamics Springer Journals

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

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References (23)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Pleiades Publishing, Ltd.
Subject
Mathematics; Dynamical Systems and Ergodic Theory
ISSN
1560-3547
eISSN
1468-4845
DOI
10.1134/S1560354717070097
Publisher site
See Article on Publisher Site

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 = q 4 + H 5 + H 6 +.... Our main results complement the study initiated by Markeev in [9].

Journal

Regular and Chaotic DynamicsSpringer Journals

Published: Feb 22, 2018

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