On non-ergodic transformations on S3

On non-ergodic transformations on S3

In this paper we consider a set of all extremal Volterra quadratic stochastic operators on three dimensional simplex S3, show that this set is parted into four equivalence classes with respect to group of transformations generated by permutations and describe the behaviour of trajectories extremal V...

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Main Authors: Ganikhodjaev, Nasir, Jamilov, Uygun, Mukhitdinov, Ramazan
Format: Article
Language:English
Published: Institute of Physics Publishing (UK) 2013
Subjects:
QA Mathematics
Online Access:http://irep.iium.edu.my/30025/
http://irep.iium.edu.my/30025/
http://irep.iium.edu.my/30025/
http://irep.iium.edu.my/30025/1/icast_2012_Uygun.pdf
id iium-30025
recordtype eprints
spelling iium-300252013-08-06T03:00:49Z http://irep.iium.edu.my/30025/ On non-ergodic transformations on S3 Ganikhodjaev, Nasir Jamilov, Uygun Mukhitdinov, Ramazan QA Mathematics In this paper we consider a set of all extremal Volterra quadratic stochastic operators on three dimensional simplex S3, show that this set is parted into four equivalence classes with respect to group of transformations generated by permutations and describe the behaviour of trajectories extremal Volterra quadratic stochastic operators for each class. It is proved that the operators in some classes are non-ergodic transformation. Institute of Physics Publishing (UK) 2013-04 Article PeerReviewed application/pdf en http://irep.iium.edu.my/30025/1/icast_2012_Uygun.pdf Ganikhodjaev, Nasir and Jamilov, Uygun and Mukhitdinov, Ramazan (2013) On non-ergodic transformations on S3. Journal of Physics: Conference Series, 435 (012005). 012005-1. ISSN 1742-6588 (P), 1742-6596 (O) http://iopscience.iop.org/1742-6596/435/1/012005 10.1088/1742-6596/435/1/012005
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
topic QA Mathematics
spellingShingle QA Mathematics
Ganikhodjaev, Nasir
Jamilov, Uygun
Mukhitdinov, Ramazan
On non-ergodic transformations on S3
description In this paper we consider a set of all extremal Volterra quadratic stochastic operators on three dimensional simplex S3, show that this set is parted into four equivalence classes with respect to group of transformations generated by permutations and describe the behaviour of trajectories extremal Volterra quadratic stochastic operators for each class. It is proved that the operators in some classes are non-ergodic transformation.
format Article
author Ganikhodjaev, Nasir
Jamilov, Uygun
Mukhitdinov, Ramazan
author_facet Ganikhodjaev, Nasir
Jamilov, Uygun
Mukhitdinov, Ramazan
author_sort Ganikhodjaev, Nasir
title On non-ergodic transformations on S3
title_short On non-ergodic transformations on S3
title_full On non-ergodic transformations on S3
title_fullStr On non-ergodic transformations on S3
title_full_unstemmed On non-ergodic transformations on S3
title_sort on non-ergodic transformations on s3
publisher Institute of Physics Publishing (UK)
publishDate 2013
url http://irep.iium.edu.my/30025/
http://irep.iium.edu.my/30025/
http://irep.iium.edu.my/30025/
http://irep.iium.edu.my/30025/1/icast_2012_Uygun.pdf
first_indexed 2023-09-18T20:44:05Z
last_indexed 2023-09-18T20:44:05Z
_version_ 1777409558155624448

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