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Spatial correlations and synchronization in coupled map lattices with long-range interactions

Author

Listed:
  • Vasconcelos, D.B.
  • Viana, R.L.
  • Lopes, S.R.
  • Batista, A.M.
  • Pinto, S.E. de S.

Abstract

We used numerical diagnostics to quantify spatial disorder, and its relation with temporal chaos, for a one-dimensional chain of coupled logistic maps with a coupling strength which varies with the lattice distance in a power-law fashion. The main tool is spatial return plots, whose properties are used to obtain information about the chaotic synchronized states of the system. A spatial correlation integral is introduced to characterize the clustering of points in the spatial return plots.

Suggested Citation

  • Vasconcelos, D.B. & Viana, R.L. & Lopes, S.R. & Batista, A.M. & Pinto, S.E. de S., 2004. "Spatial correlations and synchronization in coupled map lattices with long-range interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 201-218.
    • Handle: RePEc:eee:phsmap:v:343:y:2004:i:c:p:201-218
    DOI: 10.1016/j.physa.2004.06.063
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    Cited by:

    1. Liu, Xiwei & Chen, Tianping, 2007. "Exponential synchronization of nonlinear coupled dynamical networks with a delayed coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 82-92.
    2. Matvey Kulakov & Efim Frisman, 2023. "Clustering Synchronization in a Model of the 2D Spatio-Temporal Dynamics of an Age-Structured Population with Long-Range Interactions," Mathematics, MDPI, vol. 11(9), pages 1-21, April.

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