Volume 66, Number 6, June 2004
|881 - 887
|Interdisciplinary physics and related areas of science and technology
|01 June 2004
Noise-induced re-entrant spatio-temporal intermittency
Theoretische Physik III, Universität Bayreuth - 95440 Bayreuth, Germany
2 Department of Physics, Kyushu University - Fukuoka 812-8581, Japan
Accepted: 21 April 2004
We investigate the influence of noise on the spatio-temporal behavior of a simple model which has a subcritical bifurcation. We find that with increasing noise strength the spatio-temporal intermittency is first replaced by a low-amplitude noisy regime followed by spatio-temporal intermittency embedded into a noisy background. At sufficiently high noise intensity high-amplitude noise prevails. We point out that the transition from spatio-temporal intermittency to low-amplitude noise can be traced back to the conversion of a saddle point at zero amplitude for the deterministic system to a noise-stabilized fixed point. As the noise grows further, the noisy state around zero starts to communicate with a noisy limit cycle leading to noise-induced spatio-temporal intermittency. At high enough noise strength, high-amplitude noise is left over wiping out all details of the underlying deterministic dynamical system.
PACS: 82.40.Bj – Oscillations, chaos, and bifurcations / 82.40.Ck – Pattern formation in reactions with diffusion, flow and heat transfer / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
© EDP Sciences, 2004
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.