Here we study a noise-induced transition when the system is driven by a noise source taken as colored and non-Gaussian. We show —using both, a theoretical approximation and numerical simulations— that there is a shift of the transition as the noise departs from the Gaussian behavior. Also, we confirm the reentrance effect found for colored Gaussian noise and show the behavior of the transition line in the phase-like diagram as the noise departs from Gaussianity in the large correlation time limit.

This works is supported by MCyT (Spain) and FEDER, projects BFM2001-0341-C02-01 and BFM2000-1108. HSW acknowledges the partial support from CONICET and ANPCyT, both Argentine agencies, and thanks the MECyD, Spain, for an award within the Programa de Sabáticos para Profesores Visitantes, and the Universitat de les Illes Balears for the kind hospitality extended to him.

8 pages (final publisher version), 12 pages, 3 figures (attached post-print version).-- PACS nrs.: 05.40.−a; 02.50.Ey; 05.10.Ln.-- ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/0302574.-- Invited Talk "Anomalous Distributions, Nonlinear Dynamics and Nonextensivity" (International Workshop, Santa Fe, New Mexico, 6–9 November 2002).

Peer reviewed