Chaos synchronization in a hyperbolic dynamical system with long-range interactions

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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. As a result, the numerically determined synchronization threshold agree with the analytical results previously obtained [C. Anteneodo et al., Phys. Rev. E 68, 045202(R) (2003)] for this class of systems. We present both careful numerical experiments and a rigorous mathematical explanation confirming this fact, allowing for a generalization involving hyperbolic coupled map lattices.
4 pages, 1 figure, submitted to Physical Review E (rapid communication)

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Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/168147

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.0294
 http://arxiv.org/abs/0809.0294

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arXiv