The Interrelation of Motions of Dynamical Systems in a Metric Space

It is shown that if the positive (negative) semitrajectory of some motion , located in a metric space , is relatively compact then the - ( -) limit set of that motion is a compact minimal set. It follows that in the space any non-recurrent motion is either positively (negatively) departing or positi...

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Veröffentlicht in:	Lobachevskii journal of mathematics 2022-12, Vol.43 (12), p.3414-3419
Hauptverfasser:	Afanas’ev, A. P., Dzyuba, S. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analysis Geometry Mathematical Logic and Foundations Mathematics Mathematics and Statistics Metric space Probability Theory and Stochastic Processes
Online-Zugang:	Volltext
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