The dynamical systems found in nature are rarely isolated. Instead they interact and
influence each other. The coupling functions that connect them contain detailed information …

The Kuramoto–Sakaguchi system of coupled phase oscillators, where interaction between
oscillators is determined by a single harmonic of phase differences of pairs of oscillators …

We propose an overview of the modeling approaches for the mathematical description and
analysis of processes that combine continuous and discontinuous behavior, namely …

Тема исследования. Представлен обзор основных динамических моделей нейронной
активности и обсуждаются индивидуальные особенности их поведения, которые могут …

We study the spatiotemporal dynamics of spiral waves in a lattice of chemically coupled
memristive FitzHugh–Nagumo neurons. We also introduce local and global functional …

Collective chaos is shown to emerge, via a period-doubling cascade, from quasiperiodic
partial synchronization in a population of identical inhibitory neurons with delayed global …

Finite-size effects may significantly influence the collective dynamics of large populations of
neurons. Recently, we have shown that in globally coupled networks these effects can be …

Coupling among neural rhythms is one of the most important mechanisms at the basis of
cognitive processes in the brain. In this study, we consider a neural mass model, rigorously …

Oscillations are a hallmark of neural population activity in various brain regions with a
spectrum covering a wide range of frequencies. Within this spectrum γ oscillations have …

For a system of coupled identical phase oscillators with full permutation symmetry, any
broken symmetries in dynamical behavior must come from spontaneous symmetry breaking …