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Reducibility of a nonlinear oscillation system with pulse influence in the neighborhood of an integral manifold

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Abstract

In the neighborhood of an asymptotically stable integral manifold of a multifrequency system with pulse influence at fixed times, we perform a decomposition of the equations for angular and position variables.

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Authors and Affiliations

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

    A. M. Samoilenko

  2. Chernivtsi University, Chernivtsi

    R. I. Petryshyn & P. M. Dudnyts’kyi

Authors
  1. A. M. Samoilenko
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  2. R. I. Petryshyn
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  3. P. M. Dudnyts’kyi
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Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 8, pp. 1076–1094, August, 2004.

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Samoilenko, A.M., Petryshyn, R.I. & Dudnyts’kyi, P.M. Reducibility of a nonlinear oscillation system with pulse influence in the neighborhood of an integral manifold. Ukr Math J 56, 1276–1299 (2004). https://doi.org/10.1007/s11253-005-0057-2

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  • DOI: https://doi.org/10.1007/s11253-005-0057-2

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