Y. Hayase and H. R. Brand 2004 Europhys. Lett. 66 881 doi:10.1209/epl/i2003-10269-9
Y. Hayase1,2 and H. R. Brand1
Show affiliationsWe 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
Issue 6 (June 2004)
Received 20 October 2003, accepted for publication 21 April 2004, in final form 21 April 2004
Y. Hayase and H. R. Brand 2004 Europhys. Lett. 66 881
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