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A stability criterion for periodic solutions of two-dimensional discontinuous dynamical systems

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Ukrainian Mathematical Journal Aims and scope

Abstract

We establish stability conditions for periodic solutions of two-dimensional systems of ordinary differential equations with pulse influence. We study the properties of the jump operator for such systems.

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References

  1. V. I. Urmanchev,Dynamical Systems with Pulse Influence on a Sphere [in Russian], Preprint No. 90.15, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1990).

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Authors
  1. V. I. Urmanchev
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 9, pp. 1262–1266, September, 1999.

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Urmanchev, V.I. A stability criterion for periodic solutions of two-dimensional discontinuous dynamical systems. Ukr Math J 51, 1419–1424 (1999). https://doi.org/10.1007/BF02593007

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  • DOI: https://doi.org/10.1007/BF02593007

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