On Attractors in Dynamical Systems Modeling Genetic Networks

Open Access

Original research article

Author(s):

Diana Ogorelova^a, Felix Sadyrbaev^b, Inna Samuilik^c

^a Faculty of Natural and Health Sciences, Daugavpils University, Daugavpils, Latvia.
^b Institute of Mathematics and Computer Science, University of Latvia, Riga, Latvia.
^c Department of Engineering Mathematics, Riga Technical University, Riga, Latvia.

Advances in the Theory of Nonlinear Analysis and its Applications 7(2), 486-498.

Received: January 12, 2023

Accepted: June 8, 2023

Published: June 18, 2023

Abstract

A dynamical system that arises in the theory of genetic networks is studied. Attracting sets of a special kind are the focus of the study. These attractors appear as combinations of attractors of lower dimensions, which are stable limit cycles. The properties of attractors are studied. Visualizations and examples are provided.

Keywords: Genetic networks, attractors, phase space, dynamical system, neural networks.

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APA Style

Ogorelova, D., Sadyrbaev, F., & Samuılık, I. (2023). On attractors in dynamical systems modeling genetic networks. Advances in the Theory of Nonlinear Analysis and its Application, 7(2), 486-498.