Zobrazeno 1 - 10
of 853
pro vyhledávání: '"Rozikov, A."'
Autor:
Shoyimardonov, S. K., Rozikov, U. A.
In this paper, we examine a specific class of quadratic operators. For these operators, we identified all fixed points and categorized their types in the general case. Our analysis revealed that there are no attractive fixed points except the origin.
Externí odkaz:
http://arxiv.org/abs/2409.13450
Autor:
Shoyimardonov, S. K., Rozikov, U. A.
In this paper, we study discrete dynamics of phytoplankton-zooplankton system with Holling type II and Holling type III predator functional responses. The stability of positive fixed points are investigated. By finding invariant sets, the convergence
Externí odkaz:
http://arxiv.org/abs/2408.13804
Autor:
Boxonov, Z. S., Rozikov, U. A.
Mathematical models of glucose, insulin, and pancreatic $\beta$-cell mass dynamics are essential for understanding the physiological basis of type 2 diabetes. This paper investigates the Topp model's discrete-time dynamics to represent these interact
Externí odkaz:
http://arxiv.org/abs/2405.00323
Autor:
Jahnel, Benedikt, Rozikov, Utkir
We investigate the finite-state $p$-solid-on-solid model, for $p=\infty$, on Cayley trees of order $k\geq 2$ and establish a system of functional equations where each solution corresponds to a (splitting) Gibbs measure of the model. Our main result i
Externí odkaz:
http://arxiv.org/abs/2404.03297
Autor:
Olimov, U. R., Rozikov, U. A.
We investigate discrete-time dynamical systems generated by an infinite-dimensional non-linear operator that maps the Banach space $l_1$ to itself. It is demonstrated that this operator possesses up to seven fixed points. By leveraging the specific f
Externí odkaz:
http://arxiv.org/abs/2402.15479
Autor:
Jahnel, Benedikt, Rozikov, Utkir
We consider a version of the solid-on-solid model on the Cayley tree of order two in which vertices carry spins of value $0,1$ or $2$ and the pairwise interaction of neighboring vertices is given by their spin difference to the power $p>0$. We exhibi
Externí odkaz:
http://arxiv.org/abs/2402.09839
In this paper, we focus on studying non-probability Gibbs measures for a Hard Core (HC) model on a Cayley tree of order $k\geq 2$, where the set of integers $\mathbb Z$ is the set of spin values. It is well-known that each Gibbs measure, whether it b
Externí odkaz:
http://arxiv.org/abs/2307.03432
Autor:
Aliev, E. T., Rozikov, U. A.
In this paper we consider function $f(x)={x+a\over bx+c}$, (where $b\ne 0$, $c\ne ab$, $x\ne -{c\over b}$) on three fields: the set of real, $p$-adic and complex numbers. We study dynamical systems generated by this function on each field separately
Externí odkaz:
http://arxiv.org/abs/2304.04001
In this paper we study the discrete-time dynamical systems associated with gonosomal algebras used as algebraic model in the sex-linked genes inheritance. We show that the class of gonosomal algebras is disjoint from the other non-associative algebra
Externí odkaz:
http://arxiv.org/abs/2304.01540
Autor:
Rozikov, U. A.
Kittel's 1D model represents a natural DNA with two strands as a (molecular) zipper, which may separated as the temperature is varied. We define multidimensional version of this model on a Cayley tree and study the set of Gibbs measures. We reduce de
Externí odkaz:
http://arxiv.org/abs/2301.07337