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 Selkov system, which is typically employed to model glycolysis phenomena, unveils
some rich dynamics and some other complex formations in biochemical reactions. In the …

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 …

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 …

In this paper, the problem of synchronization of a class of spatiotemporal fractional-order
partial differential systems is studied. Subject to homogeneous Neumann boundary …

This study considers the problem of control and synchronization between fractional‐order
and integer‐order, N‐components reaction‐diffusion systems with nonidentical coefficients …

Cognitive disorders especially epilepsy are closely linked with synchronization/
desynchronization of neurons in the brain. In this paper, the dynamical modeling and …

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 …

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 …

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 …