Spatial coexistence of coherent and incoherent dynamics in network of coupled oscillators is
called a chimera state. We study such chimera states in a network of neurons without any …

We investigate the relation between the dynamics of a single oscillator with delayed self-
feedback and a feed-forward ring of such oscillators, where each unit is coupled to its next …

This research aims to achieve a fundamental understanding of synchronization and its
interplay with the topology of complex networks. Synchronization is a ubiquitous …

The human brain constitutes one of the most advanced networks produced by nature,
consisting of billions of neurons communicating with each other. However, this …

We show how a variety of stable spatio-temporal periodic patterns can be created in 2D-
lattices of coupled oscillators with non-homogeneous coupling delays. The results are …

We consider the recurrent pulse-coupled networks of excitable elements with delayed
connections, which are inspired by the biological neural networks. If the delays are tuned …

Autonomous Boolean networks are commonly used to model the dynamics of gene
regulatory networks and allow for the prediction of stable dynamical attractors. However …

Rings of oscillators with delayed pulse coupling are studied analytically, numerically, and
experimentally. The basic regimes observed in such rings are rotating waves with constant …

Pulse-mediated interactions are common in networks of different nature. Here we develop a
general framework for simulation of networks with pulse delayed coupling. We introduce the …

The present paper investigates amplitude death (AD) in delay-coupled oscillators on
directed graphs, in which the connection delays among oscillators are heterogeneous. We …