Effect of parameter mismatch on partial synchronization in coupled chaotic systems

초록

We investigate the effect of parameter mismatch on partial synchronization in three coupled one-dimensional maps. A completely synchronized attractor on the diagonal loses its transverse stability through a blowout bifurcation, and then partial synchronization may occur on an invariant plane. Due to the existence of positive local transverse Lyapunov exponents, the partially synchronized attractor becomes sensitive with respect to the variation of the mismatching parameter. Thus, in the presence of parameter mismatch, the invariant plane on which partial synchronization occurs is destroyed, and then an intermittent bursting from this plane occurs. To measure the degree of such parameter sensitivity, we introduce the parameter sensitivity exponent and characterize the parameter-mismatching effect on the intermittent bursting. The scaling exponent for the average interburst time is thus found to be given by the reciprocal of the parameter sensitivity exponent.

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