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Mat. Zametki, 1968, Volume 3, Issue 6, Pages 707–714 (Mi mz6732)  

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.

Full text: PDF file (581 kB)

English version:
Mathematical Notes, 1968, 3:6, 452–455

Bibliographic databases:

UDC: 517.9
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

Citation in format AMSBIB
\Bibitem{MysRei68}
\by A.~D.~Myshkis, L.~\'E.~Reizi{\c n}{\v s}
\paper The number of cells of a~dynamical system
\jour Mat. Zametki
\yr 1968
\vol 3
\issue 6
\pages 707--714
\mathnet{http://mi.mathnet.ru/mz6732}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=261117}
\zmath{https://zbmath.org/?q=an:0169.11503|0162.12901}
\transl
\jour Math. Notes
\yr 1968
\vol 3
\issue 6
\pages 452--455
\crossref{https://doi.org/10.1007/BF01110605}


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