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Russian Mathematics

, Volume 63, Issue 6, pp 82–84 | Cite as

Almost Periodic Solutions of Nonlinear ODE Systems with Two Small Parameters

  • N. A. PismennyyEmail author
Brief Communications

Abstract

In this paper, we investigate the question of existence, uniqueness and bifurcation of almost periodic solutions of a non-linear ODE system with two small positive parameters and almost periodic right-hand side from the cycle of the generating system. We prove the averaging principle in the problem of almost periodic solutions of an ODE system of special type with two small parameters.

Key words

almost periodic solutions small parameters non-linear system bifurcation 

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Copyright information

© Allerton Press, Inc. 2019

Authors and Affiliations

  1. 1.Voronezh State UniversityVoronezhRussia

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