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A coupled map lattice whose topology changes at each time step is studied. Weshow that the transversal dynamics of the synchronization manifold can beanalyzed by the introduction of effective dynamical quantities. Thesequantities are defined as weighted averages over all possible topologies. Wedemonstrate that an ensemble of short time observations can be used to predictthe long-term behavior of the lattice. Finally, we point out that it ispossible to obtain a lattice with constant topology in which the dynamicalbehavior is asymptotically identical to one of the time-varying topology.

Effective dynamics for chaos synchronization in networks with time-varying topology