Convective instabilities of synchronization manifolds in spatially extended systems.
We study the stability properties of anticipating synchronization in an open chain of unidirectionally coupled identical chaotic oscillators. Despite being absolutely stable, the synchronization manifold is unstable to propagating perturbations. We analyze and characterize such instabilities drawing a qualitative and quantitative comparison with the convective instabilities typical of spatially extended systems.
Mendoza
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Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Florence, Italy.
Boccaletti
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Politi
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