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Lyapunov stability of equilibrium states of reversible systems

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This research was accomplished with the financial support of the Russian Foundation for Fundamental Research, Grant No. 94-010-1674a.

Translated from Matematicheskie Zametki, Vol. 57, No. 1, pp. 90–104, January, 1995.

In conclusion, the author wishes to express his deep appreciation to M. B. Sevryuk for significant assistance during the preparation of this paper. Taking into account the remarks he made, we essentially improved the first version of the paper. The author is also grateful to D. V. Treshchev, V. N. Tkhai, and S. D. Furta for their support and interest in this research.

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Matveev, M.V. Lyapunov stability of equilibrium states of reversible systems. Math Notes 57, 63–72 (1995). https://doi.org/10.1007/BF02309395

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