285 citations · 418 across the 9 of their papers we have counts for
4 papers · 1 filter
Moment Equations for a Spatially Extended System of Two Competing Species
D. Valenti, L. Schimansky-Geier, X. Sailer +1
The dynamics of a spatially extended system of two competing species in the presence of two noise sources is studied. A correlated dichotomous noise acts on the interaction paramet…
Drift and Diffusion in Periodically Driven Renewal Processes
Tobias Prager, Lutz Schimansky-Geier
We consider the drift and diffusion properties of periodically driven renewal processes. These processes are defined by a periodically time dependent waiting time distribution, whi…
Noise Induced Complexity: From Subthreshold Oscillations to Spiking in Coupled Excitable Systems
M. Zaks, X. Sailer, L. Schimansky-Geier +1
We study stochastic dynamics of an ensemble of N globally coupled excitable elements. Each element is modeled by a FitzHugh-Nagumo oscillator and is disturbed by independent Gaussi…
Phase velocity and phase diffusion in periodically driven discrete state systems
T. Prager, L. Schimansky-Geier
We develop a theory to calculate the effective phase diffusion coefficient and the mean phase velocity in periodically driven stochastic models with two discrete states. This theor…