On constructing generally periodic solutions of a complicated structure of a non-autonomous system of differential equations |
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Authors: | A N Pchelintsev |
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Institution: | 14151. Tambov State Technical University, ul. Sovetskaya 106, Tambov, 392000, Russia
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Abstract: | In this paper, a numerical scheme of constructing approximate generally periodical solutions of a complicated structure of a non-autonomous system of ordinary differential equations with periodical right-hand sides on the surface of a torus is considered. The existence of such solutions, as well as convergence of the method of successive approximations, is demonstrated. Results of a computational experiment are presented. |
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