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Bogoliubov, N.N. and Krylov, N. (1934) The Application of Methods of Nonlinear Mechanics in the Theory of Stationary Oscillations. Publ. 8 of the Ukrainian Academy of Sciences, Kiev.

has been cited by the following article:

• TITLE: Periodic Solutions of Some Polynomial Differential Systems in R4

  AUTHORS: Makhlouf Amar, Bousbiat Lilia

  KEYWORDS: Periodic Solution, Averaging Theory, Differential System

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.5 No.1, January 26, 2017

  ABSTRACT: We provide sufficient conditions for the existence of periodic solutions of the polynomial fourth order differential system , where A is a 4 × 4 constant matrix, P1, P2, P3 and P4 are polynomials in the variables x, y, u, v of degrees n, hi(t) = hi(t + 2π) with i = 1, 2, 3, 4 being periodic functions and ε is a small parameter.