Work

Dynamics of a non-Volterra cubic stochastic operator on the two-dimensional simplex

Year: 2026

Type: article

Abstract: The dynamics of a non-Volterra cubic stochastic operator on the two-dimensional simplex are analyzed. All of its fixed points and 2-periodic orbits are identified. It is shown that, depending on the initial state, the trajectories either converge to a unique 2-periodic cycle or stay near a repelling equilibrium. The effectiveness of the theoretical findings is illustrated through numerical examples.

Source: Učenye zapiski Kazanskogo gosudarstvennogo universiteta. Seriâ Fiziko-matematičeskie nauki/Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki

DOI: 10.26907/2541-7746.2026.2.340-356

Authors: A. Yu. Khamrayev, J. N. Jumayev, A. Z. Norov, Z. S. Boxonov

Institutions: Karshi State University, Academy of Sciences Republic of Uzbekistan

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7167611868

FWCI:

Cites: 18

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Related to: 10