Europhys. Lett.
Volume 66, Number 6, June 2004
Page(s) 881 - 887
Section Interdisciplinary physics and related areas of science and technology
Published online 01 June 2004
Europhys. Lett., 66 (6) , pp. 881-887 (2004)
DOI: 10.1209/epl/i2003-10269-9

Noise-induced re-entrant spatio-temporal intermittency

Y. Hayase1, 2 and H. R. Brand1

1  Theoretische Physik III, Universität Bayreuth - 95440 Bayreuth, Germany
2  Department of Physics, Kyushu University - Fukuoka 812-8581, Japan

(Received 20 October 2003; accepted in final form 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.

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.

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