[HTML][HTML] Synchronization and control of coupled reaction–diffusion systems of the FitzHugh–Nagumo type
B Ambrosio, MA Aziz-Alaoui - Computers & Mathematics with Applications, 2012 - Elsevier
We consider a FitzHugh–Nagumo reaction–diffusion type system (FHN). The dynamics of
the reaction part induces a unique repulsive stationary point (0, 0) and a unique attractive …
the reaction part induces a unique repulsive stationary point (0, 0) and a unique attractive …
Synchronization of the glycolysis reaction-diffusion model via linear control law
The Selkov system, which is typically employed to model glycolysis phenomena, unveils
some rich dynamics and some other complex formations in biochemical reactions. In the …
some rich dynamics and some other complex formations in biochemical reactions. In the …
Synchronization of FitzHugh-Nagumo reaction-diffusion systems via one-dimensional linear control law
The Fitzhugh-Nagumo model (FN model), which is successfully employed in modeling the
function of the so-called membrane potential, exhibits various formations in neuronal …
function of the so-called membrane potential, exhibits various formations in neuronal …
A Hybrid Approach for Synchronizing between two reaction–diffusion systems of integer-and fractional-order applied on certain chemical models
In this study, a synchronization problem for spatio-temporal partial differential systems is
addressed and researched within a subjectivist framework. In light of Lyapunov direct …
addressed and researched within a subjectivist framework. In light of Lyapunov direct …
Synchronization results for a class of fractional-order spatiotemporal partial differential systems based on fractional Lyapunov approach
In this paper, the problem of synchronization of a class of spatiotemporal fractional-order
partial differential systems is studied. Subject to homogeneous Neumann boundary …
partial differential systems is studied. Subject to homogeneous Neumann boundary …
Global synchronization of fractional‐order and integer‐order N component reaction diffusion systems: Application to biochemical models
F Mesdoui, N Shawagfeh… - Mathematical Methods in …, 2021 - Wiley Online Library
This study considers the problem of control and synchronization between fractional‐order
and integer‐order, N‐components reaction‐diffusion systems with nonidentical coefficients …
and integer‐order, N‐components reaction‐diffusion systems with nonidentical coefficients …
[HTML][HTML] Numerical simulation of reaction–diffusion neural dynamics models and their synchronization/desynchronization: application to epileptic seizures
Cognitive disorders especially epilepsy are closely linked with synchronization/
desynchronization of neurons in the brain. In this paper, the dynamical modeling and …
desynchronization of neurons in the brain. In this paper, the dynamical modeling and …
Synchronization Control in Reaction‐Diffusion Systems: Application to Lengyel‐Epstein System
Synchronization and control in high dimensional spatial‐temporal systems have received
increasing interest in recent years. In this paper, the problem of complete synchronization for …
increasing interest in recent years. In this paper, the problem of complete synchronization for …
The use of space-splitting RBF-FD technique to simulate the controlled synchronization of neural networks arising from brain activity modeling in epileptic seizures
This paper investigates the behavior and synchronization of a network of reaction–diffusion
neural dynamics models using a highly efficient numerical method. In fact, the dynamical …
neural dynamics models using a highly efficient numerical method. In fact, the dynamical …
An efficient space-splitting method for simulating brain neurons by neuronal synchronization to control epileptic activity
MM Moayeri, AH Hadian-Rasanan, S Latifi… - Engineering with …, 2022 - Springer
Controlling synchronization of neural networks in brain activity is an important issue in
neurodevelopmental disorders such as epileptic seizures. In this paper, we propose an …
neurodevelopmental disorders such as epileptic seizures. In this paper, we propose an …