On Attractors in Dynamical Systems Modeling Genetic Networks

Advances in the Theory of Nonlinear Analysis and its Applications 2023
Diana Ogorelova, Felix Sadyrbaev, Inna Samuilika

A dynamical system 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
Attractors; Dynamical system; Genetic networks; Neural networks; Phase space
DOI
10.31197/atnaa.232379
Hyperlink
https://dergipark.org.tr/en/download/article-file/2943307

Ogorelova, D., Sadyrbaev, F., Samuilika, I. On Attractors in Dynamical Systems Modeling Genetic Networks. Advances in the Theory of Nonlinear Analysis and its Applications, 2023, Vol. 7, No. 2, pp.486-498. ISSN 2587-2648. Available from: doi:10.31197/atnaa.232379

Publication language
English (en)