Abstract 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 …

Graph theory is now becoming a standard tool in system-level neuroscience. However,
endowing observed brain anatomy and dynamics with a complex network structure does not …

Synchronization phenomena represent one of the central issues in the modern research, in
particular, on nonlinear dynamics, network science, and statistical physics with applications …

We study numerically the spatiotemporal dynamics in a ring network of nonlocally coupled
nonlinear oscillators, each represented by a two-dimensional discrete-time model of the …

In this article, we analyze a nonlocal ring network of adaptively coupled phase oscillators.
We observe a variety of frequency-synchronized states such as phase-locked, multicluster …

We investigate solitary states in a two-layer multiplex network of FitzHugh-Nagumo neurons
in the oscillatory regime. We demonstrate how solitary states can be induced in a multiplex …

We study numerically the spatiotemporal dynamics and synchronization of a heterogeneous
two-layer multiplex network where each layer is represented by a ring of nonlocally coupled …

We study numerically the spatio-temporal dynamics of ring networks of coupled discrete-
time systems in the presence of additive noise. The robustness of chimera states with …

We show how solitary states in a system of globally coupled FitzHugh-Nagumo oscillators
can lead to the emergence of chimera states. By a numerical bifurcation analysis of a …

We study numerically the impact of heterogeneity in parameters on the dynamics of
nonlocally coupled discrete-time systems, which exhibit solitary states along the transition …