Center-focus problem for analytic systems with nonzero linear part


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We suggest a method for solving the center-focus problem for real analytic systems with nonzero linear part. The cases of a linear center (pure imaginary eigenvalues of the linear part) and of a nilpotent center are considered. A unified method for solving the center-focus problem in both cases is indicated.

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A. Sadovskii

Belarusian State University

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Email: sadovskii@bsu.by
白俄罗斯, Minsk, 220030

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