Convective instabilities of synchronization manifolds in spatially extended systems

C Mendoza, S Boccaletti, A Politi

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Abstract

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.

Original languageEnglish
Article number047202
Pages (from-to)-
Number of pages4
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume69
Issue number4
DOIs
Publication statusPublished - Apr 2004

Keywords

  • COUPLED CHAOTIC OSCILLATORS
  • SPATIOTEMPORAL CHAOS
  • EQUATIONS

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