caa a22 4500 467892989 CHVBK 20180406152754.0 cr unu---uuuuu 170328e20061101xx s 000 0 eng 10.1007/s10955-006-9209-5 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9209-5 Changes in the Effective Parameters of Averaged Motion in Nonlinear Systems Subject to Noise [Elektronische Daten] [P. Landa, Yu. Neimark, P. McClintock] We discuss how the effective parameters characterising averaged motion in nonlinear systems are affected by noise (random fluctuations). In this approach to stochastic dynamics, the stochastic system is replaced by its deterministic equivalent but with noise-dependent parameters. We show that it can help to resolve certain paradoxes and that it has a utility extending far beyond its usual application in passing from the microscopic equations of motion to the macroscopic ones. As illustrative examples, we consider the diode-capacitor circuit, a Brownian ratchet, and a generic stochastic resonance system. In the latter two cases we calculate for the first time their effective parameters of averaged motion as functions of noise intensity. We speculate that many other stochastic problems can be treated in a similar way. Springer Science+Business Media, LLC, 2006 noise nationallicence nonlinear dynamics nationallicence fluctuational phenomena nationallicence Brownian motion nationallicence Landa P. Physics Department, Lomonosov Moscow State University, 119899, Moscow, Russia aut Neimark Yu Research Institute for Applied Mathematics and Cybernetics, Nizhny Novgorod State University, 603005, Nizhny Novgorod, Russia aut McClintock P. Department of Physics, Lancaster University, LA1 4YB, Lancaster, UK aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/3(2006-11-01), 593-620 0022-4715 125:3<593 2006 125 10955 https://doi.org/10.1007/s10955-006-9209-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9209-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Landa P. Physics Department, Lomonosov Moscow State University, 119899, Moscow, Russia aut NATIONALLICENCE 700 1- Neimark Yu Research Institute for Applied Mathematics and Cybernetics, Nizhny Novgorod State University, 603005, Nizhny Novgorod, Russia aut NATIONALLICENCE 700 1- McClintock P. Department of Physics, Lancaster University, LA1 4YB, Lancaster, UK aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/3(2006-11-01), 593-620 0022-4715 125:3<593 2006 125 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer