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On non-ergodic transformations on S3

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)

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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.

Item Type: Article (Journal)
Additional Information: 4430/30025
Uncontrolled Keywords: Mathematical physics Computational physics
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button): Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User: Prof. Nasir Ganikhodjaev
Date Deposited: 06 Aug 2013 11:00
Last Modified: 06 Aug 2013 11:00
URI: http://irep.iium.edu.my/id/eprint/30025

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