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Matematicheskie Zametki, 1995, Volume 57, Issue 1, Pages 90–104 (Mi mzm1924)  
This article is cited in 10 scientific papers (total in 10 papers)

Lyapunov stability of equilibrium states of reversible systems

M. V. Matveev

Moscow Aviation Institute
Full-text PDF (1442 kB) Citations (10)
References:
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Received: 21.06.1994
English version:
Mathematical Notes, 1995, Volume 57, Issue 1, Pages 63–72
DOI: https://doi.org/10.1007/BF02309395
Bibliographic databases:
Language: Russian
Citation: M. V. Matveev, “Lyapunov stability of equilibrium states of reversible systems”, Mat. Zametki, 57:1 (1995), 90–104; Math. Notes, 57:1 (1995), 63–72
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm1924
  • https://www.mathnet.ru/eng/mzm/v57/i1/p90
    • This publication is cited in the following 10 articles:
    1. V. V. Basov, Yu. N. Bibikov, “Normal Form and Stability of the Zero Solution to a Second-Order Periodic Reversible ODE with a Small Parameter”, Vestnik St.Petersb. Univ.Math., 57:4 (2024), 472  crossref
    2. A. Algaba, I. Checa, E. Gamero, C. García, “Characterizing Orbital-Reversibility Through Normal Forms”, Qual. Theory Dyn. Syst., 20:2 (2021)  crossref
    3. J. Chen, Y. X. Guo, F. X. Mei, “New methods to find solutions and analyze stability of equilibrium of nonholonomic mechanical systems”, Acta Mech. Sin., 34:6 (2018), 1136  crossref
    4. Antonio Algaba, Estanislao Gamero, Cristóbal García, “The reversibility problem for quasi-homogeneous dynamical systems”, DCDS-A, 33:8 (2013), 3225  crossref
    5. Valery V. Kozlov, Stanislav D. Furta, Springer Monographs in Mathematics, Asymptotic Solutions of Strongly Nonlinear Systems of Differential Equations, 2013, 169  crossref
    6. A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Stability of Steady Rotations in the Nonholonomic Routh Problem”, Regul. Chaotic Dyn., 13:4 (2008), 239–249  mathnet  crossref
    7. M. Matveyev, Hamiltonian Systems with Three or More Degrees of Freedom, 1999, 489  crossref
    8. Mikhail V. Matveyev, “Reversible systems with first integrals”, Physica D: Nonlinear Phenomena, 112:1-2 (1998), 148  crossref
    9. Jeroen S.W. Lamb, Matthew Nicol, “On symmetric attractors in reversible dynamical systems”, Physica D: Nonlinear Phenomena, 112:1-2 (1998), 281  crossref
    10. M.B. Sevryuk, “The finite-dimensional reversible KAM theory”, Physica D: Nonlinear Phenomena, 112:1-2 (1998), 132  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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