[HTML][HTML] A new 3d chaotic attractor in gene regulatory network
O Kozlovska, F Sadyrbaev, I Samuilik - Mathematics, 2023 - mdpi.com
This paper introduces a new 3D chaotic attractor in a gene regulatory network. The
proposed model has eighteen parameters. Formulas for characteristic numbers of critical …
proposed model has eighteen parameters. Formulas for characteristic numbers of critical …
[PDF][PDF] On trajectories of a system modeling evolution of genetic networks
I Samuilik, F Sadyrbaev - Mathematical Biosciences and Engineering, 2023 - videleaf.com
A system of ordinary differential equations is considered, which arises in the modeling of
genetic networks and artificial neural networks. Any point in phase space corresponds to a …
genetic networks and artificial neural networks. Any point in phase space corresponds to a …
[PDF][PDF] On a dynamical model of genetic networks
I Samuilik, F Sadyrbaev - WSEAS Trans. Bus. Econ, 2023 - wseas.com
We consider the model of a four-dimensional gene regulatory network (GRN in short). This
model consists of ordinary differential equations of a special kind, where the nonlinearity is …
model consists of ordinary differential equations of a special kind, where the nonlinearity is …
[HTML][HTML] Genetic engineering–construction of a network of four dimensions with a chaotic attractor
I Samuilik - Vibroengineering Procedia, 2022 - extrica.com
Systems of ordinary differential equations (ODE) of special form are considered in this
paper. These systems appear in various models of genetic regulatory networks and …
paper. These systems appear in various models of genetic regulatory networks and …
[PDF][PDF] Mathematical modeling of three-dimensional genetic regulatory networks using logistic and Gompertz functions
I Samuilik, F Sadyrbaev… - WSEAS Trans. on Systems …, 2022 - researchgate.net
Mathematical modeling is a method of cognition of the surrounding world in which the
description of the object is carried out in the language of mathematics, and the study of the …
description of the object is carried out in the language of mathematics, and the study of the …
[PDF][PDF] Mathematical modeling of nonlinear dynamic systems
I Samuilik, F Sadyrbaev, S Atslega - Engineering for Rural …, 2022 - researchgate.net
Attracting sets for systems of ordinary differential equations, which arise in multiple
applications, are constructed. The six-dimensional system is in the focus. The construction is …
applications, are constructed. The six-dimensional system is in the focus. The construction is …
[HTML][HTML] On a three-dimensional neural network model
D Ogorelova, F Sadyrbaev - Vibroengineering Procedia, 2022 - extrica.com
The dynamics of a model of neural networks is studied. It is shown that the dynamical model
of a three-dimensional neural network can have several attractors. These attractors can be …
of a three-dimensional neural network can have several attractors. These attractors can be …
[HTML][HTML] Genetic engineering–construction of a network of arbitrary dimension with periodic attractor
I Samuilik, F Sadyrbaev - Vibroengineering Procedia, 2022 - extrica.com
It is shown, how to construct a system of ordinary differential equations of arbitrary order,
which has the periodic attractor and models some genetic network of arbitrary size. The …
which has the periodic attractor and models some genetic network of arbitrary size. The …
[PDF][PDF] Example of Chaotic Behavior in Systems of Ordinary Differential Equations Arising in Modeling of Gene Regulatory Networks
F Sadyrbaev, O Kozlovska - ceur-ws.org
The three-dimensional system of ordinary differential equations arising in mathematical
models of genetic networks is considered. The systems under consideration first appeared …
models of genetic networks is considered. The systems under consideration first appeared …