Spatiotemporal synchronization in lattices of locally coupled chaotic oscillators

Authors:
V. N. Belykh;I. V. Belykh;K. V. Nelvidin
Affiliations:
Mathematics Department, Volga State Academy, 5 Nesterov Street, Nizhny Novgorod 603600, Russia;Department of Differential Equations, Institute of Applied Mathematics and Cybernetics, 10 Ul'yanov Street, Nizhny Novgorod 603005, Russia;Mathematics Department, Volga State Academy, 5 Nesterov Street, Nizhny Novgorod 603600, Russia
Venue:
Mathematics and Computers in Simulation - Chaos synchronization and control
Year:
2002

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Abstract

The paper combines theoretical analyses with computer simulation studies of spatiotemporal synchronization regimes arising in a two-dimensional (2D) lattice of diffusively coupled identical oscillators with complicated individual dynamics. The existence of linear invariant manifolds, defining different modes of spatiotemporal synchronization, is examined. The set of possible modes of cluster synchronization is stated. The appearance and order of stabilization of the cluster synchronization regimes with increasing coupling between the oscillators are revealed for 2D lattices of coupled Lur'e systems and of coupled Rössler oscillators.