Ukrainian Mathematical Journal

, Volume 44, Issue 12, pp 1560–1568 | Cite as

Study of a discrete dynamic system in a neighborhood of a quasi-periodic trajectory

  • A. M. Samoilenko


We study a discrete system in a neighborhood of a quasi-periodic trajectory. We obtain conditions for reducing a system in this neighborhood to a system with quasi-periodic coefficients. We determine the behavior of this system under the action of small perturbations.


Dynamic System Small Perturbation Discrete System Discrete Dynamic System 
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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • A. M. Samoilenko
    • 1
  1. 1.Mathematics InstituteAcademy of Sciences of the UkraineKiev

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