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Matematicheskie Zametki, 1968, Volume 3, Issue 6, Pages 707–714
(Mi mzm6732)
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The number of cells of a dynamical system
A. D. Myshkisa, L. É. Reiziņšb a Physical Engineering Institute of Low Temperatures, UkrSSR Academy of Sciences
b Physics Institute of Academy of Sciences of Latvian SSR
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.
Received: 23.10.1967
Citation:
A. D. Myshkis, L. É. Reiziņš, “The number of cells of a dynamical system”, Mat. Zametki, 3:6 (1968), 707–714; Math. Notes, 3:6 (1968), 452–455
Linking options:
https://www.mathnet.ru/eng/mzm6732 https://www.mathnet.ru/eng/mzm/v3/i6/p707
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