38 citations · 79 across the 15 of their papers we have counts for
8 papers · 1 filter
Dynamics of quadratic operators generated by China's Five elements philosophy
N. N. Ganikhodjaev, C. H. Pah, U. A. Rozikov
Motivating by the China's five element philosophy (CFEP) we construct a permuted Volterra quadratic stochastic operator acting on the four dimensional simplex. This operator (depen…
On the Lebesgue nonlinear transformations
Nasir Ganikhodjaev, Mansoor Saburov, Ramazon Muhitdinov
In this paper, we introduce a quadratic stochastic operators on the set of all probability measures of a measurable space. We study the dynamics of the Lebesgue quadratic stochasti…
Mutation and Chaos in Nonlinear Models of Heredity
Nasir Ganikhodjaev, Mansoor Saburov, Ashraf Mohamed Nawi
In this short communication, we shall explore a nonlinear discrete dynamical system that naturally occurs in population systems to describe a transmission of a trait from parents t…
Mendelian and Non-Mendelian Quadratic Operators
Nasir Ganikhodjaev, Mansoor Saburov, Uygun Jamilov
In this paper, we attempt to provide mathematical models of Mendelian and Non-Mendelian inheritances of the bisexual population system having Fisher's {\textbf{1:1}} principle. In…
Ergodic Volterra Quadratic Transformations of Symplex
Nasir Ganikhodjaev, Dmitriy Zanin
In the paper a Volterra quadratic stochastic operators of three dimensional simplex into itself is considered.The full description of ergodic properties such operators is given.
Hamiltonian Cycle on the Set of Genotypes and Non-Ergodic Quadratic Stochastic Operators
Nasir N. Ganikhodjaev, Uygun U. Jamilov, Ramazon T. Mukhitdinov
On the set of genotypes we introduce a binary relation generated by Volterra quadratic stochastic operator on dimensional simplex and prove th…
Markov Stochastic Operators of Heredity
Nasir Ganikhodjaev
Applying non-ergodic quadratic stochastic operator the continual family of weak ergodic non-homogeneous Markov chains is constructed.
Regularity of some class of nonlinear transformations
N. N. Ganikhodjaev, M. R. B. Wahiddin, D. V. Zanin
In this paper we consider quadratic stochastic operators designed on finite Abelian groups. It is proved that such operators have the property of regularity.