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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1984-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171284000181 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841524724799111168 |
|---|---|
| author | S. S. Prasad Anant Kumar |
| author_facet | S. S. Prasad Anant Kumar |
| author_sort | S. S. Prasad |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-53e5157552944449958629de24ef40e9 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1984-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-53e5157552944449958629de24ef40e92025-02-03T05:47:31ZengWileyInternational 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. |
| 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. |
| title | 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_short | Stable P and distal dynamical systems |
| title_sort | stable p and distal dynamical systems |
| 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 |