Exact results are obtained for a large class of non-linear stochastic processes with constant diffusion. Special attention is given to the intrinsic effects induced by the non-linearities. In particular, a boomerang type behaviour of the mean path and time-controlled transitions from unimodal to bimodal probability densities are observed. Finally, the Onsager-Machlup stationary phase approximation is discussed and is recognised to provide a rather poor information for our particular class of models. © 1981.
Title
Study of a class of non-linear stochastic processes boomerang behaviour of the mean path
Published in
Physica D: Nonlinear Phenomena
Volume
2
Issue
2
Pages
353-369
Date
1981
ISSN
01672789
Note
Département de Physique Théorique, Université de Genéve, 1211 Gèneve 4, Switzerland
Cited By (since 1996): 2
Export Date: 6 December 2012
Source: Scopus
CODEN: PDNPD
Language of Original Document: English
Correspondence Address: Hongler, M.-O.; Département de Physique Théorique, Université de Genéve, 1211 Gèneve 4, Switzerland
Record creation date
2013-01-07