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Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN Druckformat: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v31.i7-9.230
pages 21-32

On Periodizing Solution of Dynamical Systems with the Simplest Symmetry under Changing of Control Parameters. Part 1

Leonid G. Lobas
Kyiv Institute of Railway Transport, Ukraine

ABSTRAKT

The existence, uniqueness and holomorphy of the periodic solutions for equations of perturbed motion of dynamic systems with the simplest symmetry in certain domains of the phase space under changing of control parameters were proved. Deviations of variables are considered with the third order of smallness accuracy. The periodic solution arising from the nontrivial state of equilibrium is constructed as power series by small parameter. Lyapunov and Poincare methods, which were individualized by I.G. Malkin for quasi-linear systems, were applied.


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