Dynamics of chaotic maps with global inhomogeneous coupling

A population of globally coupled logistic maps with inhomogeneous coupling is numerically studied. It is shown that when the coupling intensities take large values with relatively small dispersion the system is entrained in fully synchronous motion. When synchronization is unstable, instead, a regime with complex correlation between the dynamics of each map and its coupling intensity is observed. Self-averaging of internal fluctuations holds in this system for small population sizes, whereas it breaks down when the population grows.