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Spatiotemporal synchronization in lattices of locally coupled chaotic oscillators

Author

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  • Belykh, V.N.
  • Belykh, I.V.
  • Nelvidin, K.V.

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.

Suggested Citation

  • Belykh, V.N. & Belykh, I.V. & Nelvidin, K.V., 2002. "Spatiotemporal synchronization in lattices of locally coupled chaotic oscillators," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 58(4), pages 477-492.
    • Handle: RePEc:eee:matcom:v:58:y:2002:i:4:p:477-492
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    Cited by:

    1. Verichev, Nikolai N. & Verichev, Stanislav N. & Wiercigroch, Marian, 2007. "Physical interpretation and theory of existence of cluster structures in lattices of dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 34(4), pages 1082-1104.
    2. Verichev, Nikolai N. & Verichev, Stanislav N. & Wiercigroch, Marian, 2009. "C-oscillators and stability of stationary cluster structures in lattices of diffusively coupled oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 686-701.

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