The number of cells of a dynamical system

A. D. Myshkis^a, L. É. Reiziņš<sup>b

a</sup> 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.

UDC: 517.9

Received: 23.10.1967

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

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