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Your search keyword '"R. N. Ganikhodzhaev"' showing total 7 results
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7 results on '"R. N. Ganikhodzhaev"'

1. Volterra-type Quadratic Stochastic Operators with a Homogeneous Tournament

Author

M. A. Tadzhieva, D. B. Eshmamatova, and R. N. Ganikhodzhaev

Subjects
General Medicine
Abstract

As is known [1], each quadratic stochastic operator of Volterra type acting on a finitedimensional simplex defines a certain tournament, the properties of which make it possible to study the asymptotic behavior of the trajectories of this Volterra operator. In this paper, we introduce the concept of a homogeneous tournament and study the dynamic properties of Volterra operators corresponding to homogeneous tournaments in the simplex S4.

Published
2021
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2. Dynamical Properties of Quadratic Homeomorphisms of a Finite-Dimensional Simplex

Author

M. A. Tadzhieva, R. N. Ganikhodzhaev, and D. B. Eshmamatova

Subjects
Statistics and Probability, Pure mathematics, Class (set theory), Mathematics::Dynamical Systems, Simplex, Applied Mathematics, General Mathematics, 010102 general mathematics, Mathematics::General Topology, Mathematics::Geometric Topology, 01 natural sciences, 010305 fluids & plasmas, Quadratic equation, 0103 physical sciences, 0101 mathematics, Mathematics
Abstract

In this paper, we describe the class of all quadratic homeomorphisms of a finite-dimensional simplex and examine the asymptotic behavior of positive and negative trajectories of such homeomorphisms.

Published
2020
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3. Dynamics of Lotka-Volterra quadratic mappings with degenerate skew-symmetric matrix.

Author

D. B., Eshmamatova, R. N., Ganikhodzhaev, and M. A., Tadzhieva

Subjects
MATRICES (Mathematics), JACOBIAN matrices, TOURNAMENTS, CLASSIFICATION
Abstract

The paper gives a classification of mixed tournaments corresponding to Lotka-Volterra mappings with a degenerate skew-symmetric matrix acting in S ². For each of the considered cases, the Jacobian spectra at fixed points are studied during classification, and a complete description of the sets P and Q is also given. [ABSTRACT FROM AUTHOR]

Published
2022
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4. Eight Papers Translated from the Russian

Author

V. A. Belonogov, Yu. A. Drakokhrust, R. F. Faĭziev, R. N. Ganikhodzhaev, S. S. Goncharov, G. Mints, E. M. Nikishin, A. N. Parshin, T. A. Sarymsakov, Yu. G. Zarkhin, V. A. Belonogov, Yu. A. Drakokhrust, R. F. Faĭziev, R. N. Ganikhodzhaev, S. S. Goncharov, G. Mints, E. M. Nikishin, A. N. Parshin, T. A. Sarymsakov, and Yu. G. Zarkhin

Subjects
Mathematics
Abstract

Covers a variety of topics including modal logic, arithmetic algebraic geometry, orthogonal polynomials, stochastic matrices, and computing theory

Published
2016

5. QUADRATIC STOCHASTIC OPERATORS, LYAPUNOV FUNCTIONS, AND TOURNAMENTS

Author

R N Ganikhodzhaev

Subjects
Lyapunov function, Discrete mathematics, Class (set theory), Algebra and Number Theory, Simplex, Dynamical systems theory, Lyapunov exponent, Fixed point, symbols.namesake, Quadratic equation, Limit point, symbols, Applied mathematics, Mathematics
Abstract

A class of quadratic stochastic operators acting in a finite-dimensional simplex is distinguished that has trajectory at any point of the simplex behaving in a nonregular fashion as a rule. For the discrete dynamical systems generated by such operators the existence of a Lyapunov function of the form is proved, and an algorithm for finding the numbers is indicated. Upper estimates are obtained for the set of limit points of the trajectories. It is proved that the negative trajectories exist and converge. The question of the number of isolated fixed points of the operators in the distinguished class is considered. The connection between discrete dynamical systems and the theory of tournaments is also studied.Bibliography: 12 titles.

Published
1993
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