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Paper detail

Synchronization time in a hyperbolic dynamical system with long-range interactions

We show that the threshold of complete synchronization in a lattice of coupled non-smooth chaotic maps is determined by linear stability along the directions transversal to the synchronization subspace. We examine carefully the sychronization time and show that a inadequate observation of the system evolution leads to wrong results. We present both careful numerical experiments and a rigorous mathematical explanation confirming this fact, allowing for a generalization involving hyperbolic coupled map lattices.

preprint2010arXivOpen access
Rodrigo Frehse PereiraSandro Ely de Souza PintoSergio Roberto Lopes
nlin.CD
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Rodrigo Frehse PereiraSandro Ely de Souza PintoSergio Roberto Lopes

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