The number of cells of a dynamical system |
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Authors: | A. D. Myshkis L. É. Reizin' |
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Affiliation: | (1) Physical-Technical Institute of Low Temperatures, Academy of Sciences of the Ukrainian SSSR, USSR;(2) Physics Institute, Academy of Sciences of the Latvian SSR, USSR |
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Abstract: | In a dynamical system with a finite number of elementary stationary points, in which just these points serve as the limiting sets of its trajectories, a component of the connection of the set of trajectory points with the common positive and common negative limiting set is called a cell. An example is constructed which shows that a dynamical system can have any finite number of cells even though the number of stationary points is fixed.Translated from Matematicheskie Zametki, Vol. 3, No. 6, pp. 707–714, June, 1968. |
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