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Conference publicationsSufficient Conditions for Existence of the Center in Second Order Nonlinear Dynamic SystemIn this paper the autonomous non-linear system of the differential equations of the second order is researched. The matrix of linear approximation of this system has a pair of imaginary eigenvalues. The non-linear part of this system can be represented as the sum of the forms of the component of a phase vector. The order of the forms is not less than 2. The sufficient conditions of existence of the center in a neighbourhood of zero solution are received |
