Some Properties of the Prolongation Limit Random Sets in Random Dynamical Systems
Source
al-Qadisiyah Journal for Computer Science and Mathematics
Issue
Vol. 11, Issue 1 (31 Mar. 2019), pp.87-95, 9 p.
Publisher
University of al-Qadisiyah College of computer Science and Information Technology
Publication Date
2019-03-31
Country of Publication
Iraq
No. of Pages
9
Main Subjects
Information Technology and Computer Science
Topics
Abstract EN
The aim of this paper is to study the omega limit set with new concepts of the prolongation limit random sets in random dynamical systems, where some properties are proved and introduced such as the relation among the orbit closure, orbit and omega limit random set.
Also we prove that the first prolongation of a closed random set containing this set, the first prolongation is closed and invariant.
In addition, it is connected whenever it is compact provided that the phase space of the random dynamical systems is locally compact.
Then, we study the prolongational limit random set and examined some essential properties of this set.
Finally, the relation among the first prolongation, the prolongational limit random set and the positive trajectory of a random set is given and proved.
American Psychological Association (APA)
2019. Some Properties of the Prolongation Limit Random Sets in Random Dynamical Systems. al-Qadisiyah Journal for Computer Science and Mathematics،Vol. 11, no. 1, pp.87-95.
https://search.emarefa.net/detail/BIM-978266
Modern Language Association (MLA)
Some Properties of the Prolongation Limit Random Sets in Random Dynamical Systems. al-Qadisiyah Journal for Computer Science and Mathematics Vol. 11, no. 1 (2019), pp.87-95.
https://search.emarefa.net/detail/BIM-978266
American Medical Association (AMA)
Some Properties of the Prolongation Limit Random Sets in Random Dynamical Systems. al-Qadisiyah Journal for Computer Science and Mathematics. 2019. Vol. 11, no. 1, pp.87-95.
https://search.emarefa.net/detail/BIM-978266
Data Type
Journal Articles
Language
English
Notes
-
Record ID
BIM-978266