Zobrazeno 1 - 10
of 105
pro vyhledávání: '"Felix Sadyrbaev"'
Autor:
Diana Ogorelova, Felix Sadyrbaev
Publikováno v:
Mathematical Modelling and Analysis, Vol 29, Iss 2 (2024)
The comparative analysis of systems of ordinary differential equations, modeling gene regulatory networks and neuronal networks, is provided. In focus of the study are asymptotical behavior of solutions, types of attractors. Emphasis is made on the c
Externí odkaz:
https://doaj.org/article/8997d12c63d84bea918c6fe2d818003f
Autor:
Felix Sadyrbaev
Publikováno v:
Dynamics, Vol 3, Iss 3, Pp 550-562 (2023)
For a linear ordinary differential equation (ODE in short) of the third order, results are presented that supplement the theory of conjugate points and extremal solutions by W. Leighton, Z. Nehari, M. Hanan. It is especially noted the sensitivity of
Externí odkaz:
https://doaj.org/article/c162132b070a4db484341c4125c110eb
Autor:
Inna Samuilik, Felix Sadyrbaev
Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 2, Pp 2232-2242 (2023)
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 state of a network. Trajectories, which start at some initial point,
Externí odkaz:
https://doaj.org/article/d0d2b9d4bbd842bb8027ccb33573a05d
Autor:
Diana Ogorelova, Felix Sadyrbaev
Publikováno v:
Axioms, Vol 13, Iss 1, p 61 (2024)
In the theory of gene networks, the mathematical apparatus that uses dynamical systems is fruitfully used. The same is true for the theory of neural networks. In both cases, the purpose of the simulation is to study the properties of phase space, as
Externí odkaz:
https://doaj.org/article/88f29cac7bb64ac2bfede3b6c3fff3f5
Publikováno v:
Mathematics, Vol 12, Iss 1, p 100 (2023)
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 points for three-dimensional systems were considered. We show that the three eq
Externí odkaz:
https://doaj.org/article/e1fcc679703444d2b6625f69138d0209
Publikováno v:
Mathematics, Vol 11, Iss 18, p 3895 (2023)
The linear stability of a convective flow in a vertical fluid layer caused by nonlinear heat sources in the presence of cross-flow through the walls of the channel is investigated in this paper. This study is relevant to the analysis of factors that
Externí odkaz:
https://doaj.org/article/91d915819dfc46deb492ba77769d9e32
Publikováno v:
Mathematics, Vol 11, Iss 9, p 2206 (2023)
The question of targeted control over trajectories of systems of differential equations encountered in the theory of genetic and neural networks is considered. Examples are given of transferring trajectories corresponding to network states from the b
Externí odkaz:
https://doaj.org/article/6e1eef2c9c314b9e9cb5d55dd8a56650
Publikováno v:
Fluids, Vol 8, Iss 4, p 130 (2023)
Linear stability analysis of a combined convective flow in an annulus is performed in the paper. The base flow is generated by two factors: (a) different constant wall temperatures and (b) heat release as a result of a chemical reaction that takes pl
Externí odkaz:
https://doaj.org/article/7e2915172a824014a13df449cd1f3821
Autor:
Armands Gritsans, Felix Sadyrbaev
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2019, Iss 28, Pp 1-24 (2019)
We consider a third order system ${\boldsymbol x}'''={\boldsymbol f}({\boldsymbol x})$ with the two-point boundary conditions ${\boldsymbol x}(0)={\boldsymbol 0}$, ${\boldsymbol x}'(0)={\boldsymbol 0}$, ${\boldsymbol x}(1)={\boldsymbol 0}$, where ${\
Externí odkaz:
https://doaj.org/article/2f77ac5bac764df08e76ecaefe37c24b
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 35,, Pp 1-16 (2018)
We consider systems of the form $$\displaylines{ x_1''+ g_1(x_1) = h_1(x_1,x_2,\ldots,x_n),\cr x_2''+ g_2(x_2) = h_2(x_1,x_2,\ldots,x_n),\cr \cdots \cr x_n''+ g_n(x_n) = h_n(x_1,x_2,\ldots,x_n) }$$ along with the boundary conditions $$ x_1(0
Externí odkaz:
https://doaj.org/article/8df4dfa0d0764c7181b98b0336c033da