In this paper, we discuss recent progress in research of ensembles of mean field coupled
oscillators. Without an ambition to present a comprehensive review, we outline most …

Different transient-chaos related phenomena of spatiotemporal systems are reviewed.
Special attention is paid to cases where spatiotemporal chaos appears in the form of chaotic …

Correlations in spike-train ensembles can seriously impair the encoding of information by
their spatio-temporal structure. An inevitable source of correlation in finite neural networks is …

Randomly-connected networks of integrate-and-fire (IF) neurons are known to display
asynchronous irregular (AI) activity states, which resemble the discharge activity recorded in …

Understanding how populations of neurons encode information is the challenge faced by
researchers in the field of neural coding. Focusing on the many mysteries and marvels of the …

We study the dynamics of a ring of unidirectionally coupled autonomous Duffing oscillators.
Starting from a situation where the individual oscillator without coupling has only trivial …

We describe the appearance and stability of spatiotemporal periodic patterns (rotating
waves) in unidirectional rings of coupled oscillators with delayed couplings. We show how …

We investigate a network of integrate-and-fire neurons characterized by a distribution of
spiking frequencies. Upon increasing the coupling strength, the model exhibits a transition …

In dynamical systems, the growth of infinitesimal perturbations is well characterized by the
Lyapunov exponents. In many situations of interest, however, important phenomena involve …

Neurons in cerebral cortical circuits interact by sending and receiving electrical impulses
called spikes. The ongoing spiking activity of cortical circuits is fundamental to many …