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On separatrix curves of a family of linear systems with pulse influence

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Abstract

For a family of linear systems of differential equations with pulse influence, we establish conditions of existence of separatrix curves and present a method for finding these curves.

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References

  1. Yu. A. Mitropol'skii, A. M. Samoilenko, and V. L. Kulik,Investigation of Dichotomy of Linear Systems of Differential Equations by Lyapunov Functions [in Russian], Naukova Durnka, Kiev (1990).

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  2. A. M. Samoilenko, “Elements of the mathematical theory of multifrequency oscillations,” in:Invariant Tori [in Russian], Nauka, Moscow (1987).

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  3. A. M. Samoilenko and N. A. Perestyuk,Differential Equations with Pulse Influence [in Russian], Vyshcha Shkola, Kiev (1987).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    O. P. Svistun

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  1. O. P. Svistun
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No, 12, pp. 1682–1687, December, 1993.

This work was supported by the Ukrainian State Committee on Science and Technology.

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Svistun, O.P. On separatrix curves of a family of linear systems with pulse influence. Ukr Math J 45, 1893–1899 (1993). https://doi.org/10.1007/BF01061359

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  • DOI: https://doi.org/10.1007/BF01061359

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