Showing papers by "Kestutis Pyragas published in 2019"
TL;DR: The effect of small independent local noise on a network of quadratic integrate-and-fire neurons, globally coupled via synaptic pulses of finite width is considered, and areas in the parameter space, where the noise causes macroscopic oscillations of the network, are determined.
Abstract: We consider the effect of small independent local noise on a network of quadratic integrate-and-fire neurons, globally coupled via synaptic pulses of finite width. The Fokker-Planck equation for a network of infinite size is reduced to a low-dimensional system of ordinary differential equations using the recently proposed perturbation theory based on circular cumulants. A bifurcation analysis of the reduced equations is performed, and areas in the parameter space, where the noise causes macroscopic oscillations of the network, are determined. The validity of the reduced equations is verified by comparing their solutions with "exact" solutions of the Fokker-Planck equation, as well as with the results of direct simulation of stochastic microscopic dynamics of a finite-size network.
33 citations
TL;DR: In this article, an optimal arbitrary order filter with negative group delay was proposed for real-time prediction of complex band-limited signals, which consists of a set of second-order linear dissipative oscillators and is determined by a rational transfer function with fixed poles and optimized zeros.
12 citations
TL;DR: The TDFC is modified by appending the feedback loop with a state-dependent switch, which allows to reduce the phase space dimension of time-delayed feedback systems and to significantly simplify the theory.
10 citations