On Non-Ergodic Transformations on<i>S</i><sup>3</sup>
Nasir GanikhodjaevDepartment of Computational and Theoretical Sciences, Faculty of Science, IIUM, 25200 Kuantan, MALAYSIAUygun JamilovDepartment of Computational and Theoretical Sciences, Faculty of Science, IIUM, 25200 Kuantan, MALAYSIAR. T. MukhitdinovBukhara Engineering-Technical Institute of High Technologies, 105017 Bukhara, UZBEKISTAN
ABI
Аннотация
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.
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