Stable P and distal dynamical systems

In this paper we study the behavior of dynamical systems in uniform space which are Poisson stable and distal. The main results are that the trajectories of such motions are closed and every almost periodic motion is stable P and distal. In complete uniform space, this motion is periodic, Lagrange s...

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Main Authors:	S. S. Prasad, Anant Kumar
Format:	Article
Language:	English
Published:	Hindawi Limited 1984-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	dynamical systems stability and periodic motion.
Online Access:	http://dx.doi.org/10.1155/S0161171284000181

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spelling	doaj-53e5157552944449958629de24ef40e92020-11-24T22:22:16ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251984-01-017118118510.1155/S0161171284000181Stable P and distal dynamical systemsS. S. Prasad0Anant Kumar1Department of Mathematics, Magadh University, Bodh-Gaya, IndiaDepartment of Mathematics, Magadh University, Bodh-Gaya, IndiaIn this paper we study the behavior of dynamical systems in uniform space which are Poisson stable and distal. The main results are that the trajectories of such motions are closed and every almost periodic motion is stable P and distal. In complete uniform space, this motion is periodic, Lagrange stable and recurrent.http://dx.doi.org/10.1155/S0161171284000181dynamical systemsstability and periodic motion.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	S. S. Prasad Anant Kumar
spellingShingle	S. S. Prasad Anant Kumar Stable P and distal dynamical systems International Journal of Mathematics and Mathematical Sciences dynamical systems stability and periodic motion.
author_facet	S. S. Prasad Anant Kumar
author_sort	S. S. Prasad
title	Stable P and distal dynamical systems
title_short	Stable P and distal dynamical systems
title_full	Stable P and distal dynamical systems
title_fullStr	Stable P and distal dynamical systems
title_full_unstemmed	Stable P and distal dynamical systems
title_sort	stable p and distal dynamical systems
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1984-01-01
description	In this paper we study the behavior of dynamical systems in uniform space which are Poisson stable and distal. The main results are that the trajectories of such motions are closed and every almost periodic motion is stable P and distal. In complete uniform space, this motion is periodic, Lagrange stable and recurrent.
topic	dynamical systems stability and periodic motion.
url	http://dx.doi.org/10.1155/S0161171284000181
work_keys_str_mv	AT ssprasad stablepanddistaldynamicalsystems AT anantkumar stablepanddistaldynamicalsystems
_version_	1725769081556041728

Stable P and distal dynamical systems

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