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Conference publicationsEstimation of a position of the periodic solution of autonomous systemsRyazan The problem of existence of the periodic solutions for autonomous systems of the ordinary differential equations with a null matrix of linear approximation is considered. It is supposed, that the right part of a system is the sum of the forms of coordinates of vectors of the solution and parameter. The necessary and sufficient conditions of existence of the periodic solution in a vicinity of origin of coordinates are formulated. The method to estimate a position of the periodic solution in the vicinity of zero to with precision to a sector is presented. The similar problem were also put in work [2] for nonautonomous systems. In work [1] the way of definition of the period for autonomous systems is given. |
