caa a22 4500 467892296 CHVBK 20180406152752.0 cr unu---uuuuu 170328e20060401xx s 000 0 eng 10.1007/s10955-006-9029-7 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9029-7 Drift and Diffusion in Periodically Driven Renewal Processes [Elektronische Daten] [T. Prager, L. 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, which governs the interval between subsequent events. We show that the growth of the cumulants of the number of events is asymptotically periodic and develop a theory which relates these periodic growth coefficients to the waiting time distribution defining the periodic renewal process. The first two coefficients, which are the mean frequency and effective diffusion coefficient of the number of events are considered in greater detail. They may be used to quantify stochastic synchronization. Springer Science + Business Media, Inc., 2006 periodically driven renewal processes nationallicence stochastic synchronization nationallicence stochastic resonance nationallicence Prager T. Institute of Physics, Humboldt-University at Berlin, Newtonstr. 15, D-12489, Berlin, Germany aut Schimansky-Geier L. Institute of Physics, Humboldt-University at Berlin, Newtonstr. 15, D-12489, Berlin, Germany aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/2(2006-04-01), 391-413 0022-4715 123:2<391 2006 123 10955 https://doi.org/10.1007/s10955-006-9029-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9029-7 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Prager T. Institute of Physics, Humboldt-University at Berlin, Newtonstr. 15, D-12489, Berlin, Germany aut NATIONALLICENCE 700 1- Schimansky-Geier L. Institute of Physics, Humboldt-University at Berlin, Newtonstr. 15, D-12489, Berlin, Germany aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/2(2006-04-01), 391-413 0022-4715 123:2<391 2006 123 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer