Ukrainian Mathematical Journal

, Volume 56, Issue 8, pp 1276–1299 | Cite as

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

  • A. M. Samoilenko
  • R. I. Petryshyn
  • P. M. Dudnyts’kyi
Article

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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Copyright information

© Springer Science+Business Media, Inc. 2004

Authors and Affiliations

  • A. M. Samoilenko
    • 1
  • R. I. Petryshyn
    • 2
  • P. M. Dudnyts’kyi
    • 2
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKyiv
  2. 2.Chernivtsi UniversityChernivtsi

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