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Preprints of the Keldysh Institute of Applied Mathematics, 2012, 033, 24 pp. (Mi ipmp51)  
This article is cited in 3 scientific papers (total in 3 papers)

Non-linear stability of the Hamiltonian system on linear approximation

A. B. Batkhin
Full-text PDF (1113 kB) Citations (3)
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Abstract: We consider the conditions of preserving stability of stationary point of linear Hamiltonian system with small non-linear perturbations. The algorithm for selection those areas of the set of stability for which the mentioned above conditions are satisfied. The application of the algorithm is demonstrated on a 5-parametric problem with 4 degrees of freedom.
Keywords: Hamiltonian system, stability of stationary solution, formal stability.
Document Type: Preprint
Language: Russian
Citation: A. B. Batkhin, “Non-linear stability of the Hamiltonian system on linear approximation”, Keldysh Institute preprints, 2012, 033, 24 pp.
Citation in format AMSBIB
\Bibitem{Bat12}
\by A.~B.~Batkhin
\paper Non-linear stability of the Hamiltonian system on linear approximation
\jour Keldysh Institute preprints
\yr 2012
\papernumber 033
\totalpages 24
\mathnet{http://mi.mathnet.ru/ipmp51}
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  • https://www.mathnet.ru/eng/ipmp51
  • https://www.mathnet.ru/eng/ipmp/y2012/p33
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
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