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Journal of Dynamical Systems and Geometric Theories

(Since 2002)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

WoS  JIF 2026 : 0.5 (Q3)

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Journal of Dynamical Systems and Geometric Theories
Open Access Original Articles

Asymptotic Dynamics Via a Time Set Without any Order

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pp. 91–98Vol. 10Issue 1May 2012DOI: 10.1080/1726037X.2012.10698610XML
Received:
11 Apr 2011
Accepted:
22 Feb 2012
Published Online:
03 Jun 2013
Article type:
Original Articles
Language:
EN
Article no.:
1726037X.2012.10698610
Pages:
91–98

Abstract

In this paper the notion of time as an algebraic object in the system theory is considered. Quasi-limit sets for semi-dynamical systems as the invariant objects under topological conjugate relations are studied. By using of the special kind of subgroups of a topological semigroup some orbits in the quasi-limit set of a topological semi-dynamical system are detected. Complete semi-dynamical systems by using of completely simple semigroups are considered. New meaning of time in hyper dynamical systems are presented.

Subject Classifications

: Quasi-limit setConjugate relation

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