Convective instabilities of synchronization manifolds in spatially extended systems

Year: 2004

Authors: Mendoza C., Boccaletti S., Politi A.

Autors Affiliation: Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Department of Physics and Applied Mathematics, Universidad de Navarra, E31080 Pamplona, Spain

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.

Journal/Review: PHYSICAL REVIEW E

Volume: 69 (4)      Pages from: 47202-1  to: 47202-4

KeyWords: COUPLED CHAOTIC OSCILLATORS; SPATIOTEMPORAL CHAOS; EQUATIONS
DOI: 10.1103/PhysRevE.69.047202

Citations: 25
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