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:
Hamiltonian system, equilibrium solution, type of stability, normal form, critical cases, Lyapunov’s Theorem, Chetaev’s Theorem.
Citation:
Rodrigo Gutierrez, Claudio Vidal, “Stability of Equilibrium Points for a Hamiltonian Systems with One Degree of Freedom in One Degenerate Case”, Regul. Chaotic Dyn., 22:7 (2017), 880–892
\Bibitem{GutVid17}
\by Rodrigo Gutierrez, Claudio Vidal
\paper Stability of Equilibrium Points for a Hamiltonian Systems with One Degree of Freedom in One Degenerate Case
\jour Regul. Chaotic Dyn.
\yr 2017
\vol 22
\issue 7
\pages 880--892
\mathnet{http://mi.mathnet.ru/rcd297}
\crossref{https://doi.org/10.1134/S1560354717070097}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042483855}
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https://www.mathnet.ru/eng/rcd297
https://www.mathnet.ru/eng/rcd/v22/i7/p880
This publication is cited in the following 2 articles:
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