On Some Properties of the Shift on an Infinite-Dimensional Torus

We study the question, classical in the theory of dynamical systems, about the minimality of the shift on an infinite-dimensional torus; more precisely, the problem of finding sufficient conditions guaranteeing the absence of the minimality property is solved.

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Bibliographische Detailangaben
Veröffentlicht in:	Differential equations 2023-07, Vol.59 (7), p.867-879
Hauptverfasser:	Glyzin, S. D., Kolesov, A. Yu
Format:	Artikel
Sprache:	eng
Schlagworte:	Difference and Functional Equations Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Toruses
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We study the question, classical in the theory of dynamical systems, about the minimality of the shift on an infinite-dimensional torus; more precisely, the problem of finding sufficient conditions guaranteeing the absence of the minimality property is solved.
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266123070017