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Recurrent and Poisson stable flows

Author: Ronald A. Knight
Journal: Proc. Amer. Math. Soc. 83 (1981), 49-53
MSC: Primary 34C35; Secondary 54H20, 58F10
Correction: Proc. Amer. Math. Soc. 89 (1983), 186.
MathSciNet review: 619979
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Abstract: The purpose of this paper is to demonstrate that the families of Poisson stable flows and recurrent flows coincide whenever the phase space is locally compact.

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Keywords: Center, central motion, characteristic $ {0^ \pm }$, compact minimal set, continuous flow, dynamical system, nonwandering, orbit space, Poisson stable, recurrent motion, saddle set, stable
Article copyright: © Copyright 1981 American Mathematical Society

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