I. A. Sattarov

activity

20132023

most cited

p

-adic dynamical systems of

(2, 2)

-rational functions with unique fixed point

16 citations · 21 across the 10 of their papers we have counts for

collaborators

10 papers

math.DS2023

Ergodicity and periodic orbits of $p$ -adic $(1, 2)$ -rational dynamical systems with two fixed points

I. A. Sattarov, E. T. Aliev

We consider $(1, 2)$ -rational functions given on the field of $p$ -adic numbers $Q_{p}$ . In general, such a function has four parameters. We study the case when such a function…

math.DS2022★ 1 cited

Group structure of the $p$ -adic ball and dynamical system of isometry on a sphere

I. A. Sattarov

In this paper the group structure of the $p$ -adic ball and sphere are studied. The dynamical system of isometry defined on invariant sphere is investigated. We define the binary op…

math.FA2022

Periodic points of a $p$ -adic operator and their $p$ -adic Gibbs measures

U. A. Rozikov, I. A. Sattarov, A. M. Tukhtabaev

In this paper we investigate generalized Gibbs measure (GGM) for $p$ -adic Hard-Core(HC) model with a countable set of spin values on a Cayley tree of order $k \geq 2$ . This model is…

math.DS2019★ 2 cited

Dynamical systems of the $p$ -adic $(2, 2)$ -rational functions with two fixed points

U. A. Rozikov, I. A. Sattarov

We consider a family of $(2, 2)$ -rational functions given on the set of complex $p$ -adic field $C_{p}$ . Each such function $f$ has the two distinct fixed points $x_{1} = x_{1} (f)$ …

math.DS2018★ 2 cited

$p$ -adic dynamical systems of $(3, 1)$ -rational functions with unique fixed point

A. R. Luna, U. A. Rozikov, I. A. Sattarov

We describe the set of all $(3, 1)$ -rational functions given on the set of complex $p$ -adic field $C_{p}$ and having a unique fixed point. We study $p$ -adic dynamical systems…

math.DS2018

$p$ -adic dynamical systems of the function $\frac{a x}{x ^{2} + a}$

U. A. Rozikov, I. A. Sattarov, S. Yam

We show that any $(1, 2)$ -rational function with a unique fixed point is topologically conjugate to a $(2, 2)$ -rational function or to the function $f (x) = \frac{a x}{x ^{2} + a}$ . The case $…

math.DS2018

Ergodicity properties of $p$ -adic $(2, 1)$ -rational dynamical systems with unique fixed point

Iskandar A. Sattarov

We consider a family of $(2, 1)$ -rational functions given on the set of $p$ -adic field $Q_{p}$ . Each such function has a unique fixed point. We study ergodicity properties of the dyna…

math.DS2017★ 16 cited

$p$ -adic dynamical systems of $(2, 2)$ -rational functions with unique fixed point

U. A. Rozikov, I. A. Sattarov

We consider a family of $(2, 2)$ -rational functions given on the set of complex $p$ -adic field $C_{p}$ . Each such function has a unique fixed point. We study $p$ -adic dynamic…

math.DS2015

The dynamical system generated by the floor function $⌊ λ x ⌋$

U. A. Rozikov, I. A. Sattarov, J. B. Usmonov

We investigate the dynamical system generated by the function $⌊ λ x ⌋$ defined on $R$ and with a parameter $λ \in R$ . For each given $m \in N$ we sh…

math.DS2013

On a non-linear $p$ -adic dynamical system

U. A. Rozikov, I. A. Sattarov

We investigate the behavior of trajectories of a $(3, 2)$ -rational $p$ -adic dynamical system in the complex $p$ -adic filed $C_{p}$ , when there exists a unique fixed point $x…

Ergodicity and periodic orbits of p-adic (1,2)-rational dynamical systems with two fixed points

Group structure of the p-adic ball and dynamical system of isometry on a sphere

Periodic points of a p-adic operator and their p-adic Gibbs measures

Dynamical systems of the p-adic (2,2)-rational functions with two fixed points

p-adic dynamical systems of (3,1)-rational functions with unique fixed point

p-adic dynamical systems of the function x2+aax​

Ergodicity properties of p -adic (2,1)-rational dynamical systems with unique fixed point

p-adic dynamical systems of (2,2)-rational functions with unique fixed point

The dynamical system generated by the floor function ⌊λx⌋

On a non-linear p-adic dynamical system

Ergodicity and periodic orbits of $p$ -adic $(1, 2)$ -rational dynamical systems with two fixed points

Group structure of the $p$ -adic ball and dynamical system of isometry on a sphere

Periodic points of a $p$ -adic operator and their $p$ -adic Gibbs measures

Dynamical systems of the $p$ -adic $(2, 2)$ -rational functions with two fixed points

$p$ -adic dynamical systems of $(3, 1)$ -rational functions with unique fixed point

$p$ -adic dynamical systems of the function $\frac{a x}{x ^{2} + a}$

Ergodicity properties of $p$ -adic $(2, 1)$ -rational dynamical systems with unique fixed point

$p$ -adic dynamical systems of $(2, 2)$ -rational functions with unique fixed point

The dynamical system generated by the floor function $⌊ λ x ⌋$

On a non-linear $p$ -adic dynamical system