Inhomogeneity-enhanced coherence resonance in assemblies of uncoupled chaotic elements

Abstract

We study the dynamics of assemblies of “uncoupled” identical chaotic elements under the influence of external noisy filed. It is numerically demonstrated that in the case where each chaotic element exhibits type-I intermittency, the degree of the temporal regularity of the mean-field dynamics of the system reaches a maximum at a certain optimal noise intensity. Moreover, we also report that inhomogeneous noise which drives each element partly independently enhances the coherence of the mean-field more than that of the case where all elements of the system receive a completely identical noisy input, and the degree of the coherence as a function against the degree of inhomogeneity of noise shows a convex curve. In noisy uncoupled systems, the common part of noise which drives each element can be regarded as the interaction among elements which corresponds to the coupling term in the case of coupled systems, so our finding that some degree of inhomogeneity enhances the coherence of the dynamics is not trivial.