# Ergodicity of non-Volterra quadratic operators corresponding to permutations

## Ergodicity of non-Volterra quadratic operators corresponding to permutations

## Abstract

A point is called a periodic point of if there exists an so that . The

smallest positive integer satisfying the above is called the prime period or least period of the point .

A period-one point is called a fixed point of .

## References

S. Bernstein, Solution of a mathematical problem connected with the theory of heredity, Ann. Math.

Stat. 13(1), 1942, 53–61.

R.L. Devaney, An Introduction to Chaotic Dynamical Systems, Studies in Nonlinearity, Westview

Press, Boulder, CO, 2003. reprint of the second (1989) edition.

R.N. Ganikhodzhaev, Quadratic stochastic operators, Lyapunov functions and tournaments, Sb. Math.

(2), 1993, 489-506.

Y.I. Lyubich, Mathematical Structures in Population Genetics, Biomathematics; Vol. 22, 1992,

Springer-Verlag, Berlin.

## Published

2024-06-07

## How to Cite

*MODERN PROBLEMS AND PROSPECTS OF APPLIED MATHEMATICS*,

*1*(01). Retrieved from https://ojs.qarshidu.uz/index.php/mp/article/view/554

## Issue

## Section

Mathematical analysis, differential equations and equations of mathematical physics