Coherence resonance with respect to the correlation time

Coherence resonance with respect to the correlation time 

Most of the research on CR was focused on the case of white noise. White noise is a good approximation as long a.s the intrinsic time scale.s of the deterministic system are much larger than the correlation time of the external fiuctnatioiis. This is the case for example in neuronal dynamics where a neuron can be exteniallj forced by another randomly bursting neuron. In general, when deterministic and stochastic time scales are not well separated from each other, not only the amplitude but also the temporal correlation is expected to influence iioise-induced phenomena as CR. In 

In Fig. 1.8 we show schematically the set-np in use in our experiment, for details please see [7]. The set-up adopted for our experiments has as central element an open gel-reactor, which allows to maintain constant non-equilibrium conditions during the measurements, see Fig. 1.8, With it, and by means of computer-based spectrophotometry [37], we aiialyze w ave activity in the BZ medium with sufficiently liigh spatial and temporal resolution. 

Already at a rough glance on the noise-induced spikes reported in Fig. 1.9 it is possible to recognize that the coherence is dependent on r. The spikes plotted in the middle panel show a better regularity than the other two above and below it. 

To get a deeper understanding of this phenomenon we perform experiments for correlation times r in the range between 2 and 60 seconds and we estimate the time tp between two successive nucleations, and calculate its mean and the standard deviation. In Fig. 1.10 the coherence of the nucleation events is quantified through the normalized fluctuations of tp, 

---