Rhythmic behavior represents one of the most striking and ubiquitous manifestations of
functional evolution for a wide class of natural and man-made systems. The emergence of …

The time needed to exchange information in the physical world induces a delay term when
the respective system is modeled by differential equations. Time delays are hence …

The importance of the synchronization emergence in neuronal networks has motivated
many researchers to study this phenomenon. However, dealing with the systems in the …

We study both numerically and experimentally the synchronization in an ensemble of
nonidentical neuronlike oscillators described by the FitzHugh–Nagumo equations. The …

In this paper, we introduce general distributed delays (in pathways between different
neurons) and self-feedback distributed delays (in self-feedback pathways) into an improved …

The contribution of structural connectivity to functional brain states remains poorly
understood. We present a mathematical and computational study suited to assess the …

There is enormous interest---both mathematically and in diverse applications---in
understanding the dynamics of coupled-oscillator networks. The real-world motivation of …

The presence of myelin is a powerful structural factor that controls the conduction speed of
mammalian axons. It is the combination of local synaptic activity and non-local delayed …

Here, we propose a class of scale-free networks G (t; m) with intriguing properties, which
cannot be simultaneously held by all the theoretical models with power-law degree …

The inescapable presence of time delay in numerous real-world systems, particularly in
neuronal networks, prompts an exploration of its impact on synchronization dynamics. This …