Coupled Map Lattices Beyond the Uncoupled Regime
Bastien Fernandez

Beyond uncoupled regimes, the rigorous description of the dynamics of
(piecewise) expanding coupled map lattices remains largely incomplete.
To address this issue, I will consider repellers of periodic chains of
linearly coupled Lorenz-type maps and present some recent results
obtained by means of symbolic dynamics. In particular I will show
that, while all symbolic codes are admissible for sufficiently small
coupling intensity (=uncoupled regime), when the interaction strength
exceeds a threshold, a large bunch of codes is pruned and an extensive
decay of the topological entropy follows suit. Moreover, this quantity
appears to be continuous at the threshold and remains extensively
bounded below by a positive number in a large part of the expanding