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Conference publicationsAbstractsXXIII conferenceAbout Existence Center Of The Second Order Dynamic System With Even Degree NonlinearityRyazan State University named for S. Yesenin, Department of mathematics and methods of teaching mathematics 390000, Ryazan, Svoboda str., 46, 28, katelis@yandex.ru, e.liskina@rsu.edu.ru 1 pp. (accepted)We research an autonomous non-linear dynamic system with a linear approximation matrix which has a pair of imaginary eigenvalues, and with the nonlinearity which can be represented as a sum of even degree forms of a phase vector components, where the order of the forms is not less than two. We receive sufficient conditions of existence of a non-zero periodic solution set in a neighborhood of a zero solution.
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