The FitzHugh-Nagumo equation, originally conceived in neuroscience during the 1960s,
became a key model providing a simplified view of excitable neuron cell behavior. Its …

A ring of the FitzHugh–Nagumo (FHN) oscillators coupled via memristive elements is
studied. The impact of the memristive element initial states on the travelling wave …

We study numerically effects of time delay in networks of delay-coupled excitable FitzHugh–
Nagumo systems with dissipation. Generation of periodic self-sustained oscillations and its …

Computational neuroscience and neuronal communication have been amongst the most
sought after fields in the recent times. The integration of computational neuroscience and …

We explore numerically the synchronization effects in a heterogeneous two-layer network of
two-dimensional (2D) lattices of van der Pol oscillators. The inter-layer coupling of the …

We consider the dynamics of a 2D lattice of nonlocally coupled FitzHugh-Nagumo oscillators
in the regime of bistability. Special attention is paid to the study of influence both of the type …

Memristors play an important role in the modeling of neural networks as external stimuli for
neuron excitation and biological synapses for information exchange. Recently, the discrete …

We explore the emergence of a variety of different spatiotemporal patterns in a 2D lattice of
self-sustained oscillators, which interact nonlocally through an active nonlinear element. A …

The often reported reduction of Reaction Time (RT) by Vision Training) is successfully
replicated by 81 athletes across sports. This enabled us to achieve a mean reduction of RTs …

Understanding the transition mechanism between different activity patterns in realistic
neuron models brings forward fundamental challenges for the dynamical systems theory …