Mean number of locked cycles

Fig. 2.1. Synchronization in the excitable FHN system. The left figure shows the relation between mean frequency v of the system and driving frequency u — the effective diffusion coefficient and the mean number of locked cycles Ni ck according to eq. (2.4) as a function of the driving frequency i/.

We have presented a method to calculate the mean frequency and effective diffusion coefficient of the numbers of cycles(events) in periodically driven renewal processes. Based on these two quantities one can evaluate the number of locked cycles in order to quantify stochastic synchronization. Applied to a discrete model of bistable dynamics the theory can be evaluated analytically. The system shows only 1 1 synchronization, however in contrast to spectral based stochastic resonance measures the mean number of locked cycles has a maximum at an optimal driving frequency, i.e. the system shows bona fide resonance [6]. For the discrete model of... 

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