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Investigation of invariant sets with random perturbations with the use of the Lyapunov function

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Ukrainian Mathematical Journal Aims and scope

Abstract

We consider invariant sets of the form V(t, x) = 0, where V(t, x) is the Lyapunov function of the corresponding deterministic system.

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References

  1. R. Z. Khas’minskii, Stability of Systems of Differential Equations under Random Perturbation of Their Parameters [in Russian], Nauka, Moscow (1969).

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  2. A. M. Samoilenko, Elements of the Mathematical Theory of Multifrequency Oscillations [in Russian], Nauka, Moscow (1987).

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Authors and Affiliations

  1. Kiev University, Kiev

    O. M. Stanzhitskii

Authors
  1. O. M. Stanzhitskii
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 2, pp. 309–312, February, 1998.

This work was partially financially supported by the Ministry of Ukraine for Science and Technology.

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Stanzhitskii, O.M. Investigation of invariant sets with random perturbations with the use of the Lyapunov function. Ukr Math J 50, 355–359 (1998). https://doi.org/10.1007/BF02513458

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  • DOI: https://doi.org/10.1007/BF02513458

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