Synchronization threshold in coupled logistic map lattices

We consider regular lattices of coupled chaotic maps whose local dynamics is ruled by the logistic map x ↦ 4 x ( 1 − x ) , a usual paradigm of chaotic systems. Through finite-time exponents, we scrutinize the lattice dynamics in the vicinity of the threshold of complete synchronization. We connect dynamical features such as relaxation to the coherent state and intermittency with the statistics of finite-time exponents, focusing on the implications of the particular statistics related to the logistic map. Although numerical examples are given for lattice couplings decaying with distance as a power law, our results are expected to be valid for a wider class of schemes coupling logistic maps.