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自动化与信息科学期刊

每年出版 12 

ISSN 打印: 1064-2315

ISSN 在线: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

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

卷 31, 册 7-9, 1999, pp. 21-32
DOI: 10.1615/JAutomatInfScien.v31.i7-9.230
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摘要

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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