On attractors in dynamical systems modeling genetic networks

Year 2023, , 486 - 498, 23.07.2023

Diana Ogorelova , Felix Sadyrbaev , Inna Samuılık

https://doi.org/10.31197/atnaa.1248853

Abstract

The system of ordinary differential equations that arises in the theory of genetic networks is studied. Attracting sets of a special kind is 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

phase space, attractors, networks

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