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Information flow between weakly interacting lattices of coupled maps

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  • Dobyns, York
  • Atmanspacher, Harald

Abstract

Weakly interacting lattices of coupled maps can be modeled as ordinary coupled map lattices separated from each other by boundary regions with small coupling parameters. We demonstrate that such weakly interacting lattices can nevertheless have unexpected and striking effects on each other. Under specific conditions, particular stability properties of the lattices are significantly influenced by their weak mutual interaction. This observation is tantamount to an efficacious information flow across the boundary.

Suggested Citation

  • Dobyns, York & Atmanspacher, Harald, 2006. "Information flow between weakly interacting lattices of coupled maps," Chaos, Solitons & Fractals, Elsevier, vol. 28(3), pages 755-767.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:3:p:755-767
    DOI: 10.1016/j.chaos.2005.07.008
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    References listed on IDEAS

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    1. Atmanspacher, Harald & Scheingraber, Herbert, 2005. "Stabilization of causally and non-causally coupled map lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(3), pages 435-447.
    2. H. Atmanspacher & T. Filk & H. Scheingraber, 2005. "Stability analysis of coupled map lattices at locally unstable fixed points," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 44(2), pages 229-239, March.
    3. Dobyns, York & Atmanspacher, Harald, 2005. "Characterizing spontaneous irregular behavior in coupled map lattices," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 313-327.
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