On Non-Ergodic Transformations on S super(3)

On Non-Ergodic Transformations on S super(3)

In this paper we consider a set of all extremal Volterra quadratic stochastic operators on three dimensional simplex S super(3), 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 ex...

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Veröffentlicht in:Journal of physics. Conference series 2013-01, Vol.435, p.1-7
Hauptverfasser: Ganikhodjaev, Nasir N, Jamilov, Uygun U, Mukhitdinov, Ramazon T
Format: Artikel
Sprache:eng
Schlagworte:
Equivalence
Operators
Permutations
Stochasticity
Three dimensional
Trajectories
Transformations
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Zusammenfassung:In this paper we consider a set of all extremal Volterra quadratic stochastic operators on three dimensional simplex S super(3), 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.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/435/1/012005