40 citations · 77 across the 5 of their papers we have counts for
5 papers
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…
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…
Stochastic resonance in a non Markovian discrete state model for excitable systems
T. Prager, L. Schimansky-Geier
We study a non Markovian three state model, subjected to an external periodic signal. This model is intended to describe an excitable systems with periodical driving. In the limit…
Coupled three-state oscillators
T. Prager, B. Naundorf, L. Schimansky-Geier
We investigate globally coupled stochastic three-state oscillators, which we consider as general models of stochastic excitable systems. We compare two situations:in the first case…
A novel approach to synchronization in coupled excitable systems
B. Naundorf, T. Prager, L. Schimansky-Geier
We consider networks of coupled stochastic oscillators. When coupled we find strong collective oscillations, while each unit remains stochastic. In the limit (N\to \infty) we deriv…