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The Effect of Explosive Divergence in a Coupled Map Lattice of Matrices

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  • Lu, Guangqing
  • Smidtaite, Rasa
  • Navickas, Zenonas
  • Ragulskis, Minvydas

Abstract

The extension of the Coupled map lattice (CML) model by replacing scalar nodal variables by matrix variables is investigated in this paper. The dynamics of the extended CML is investigated using formal analytical and computational techniques. Necessary conditions for the occurrence of the effect of explosive divergence in the extended CML are derived. It is demonstrated that the extended CML can generate complex fractal patterns representing spatiotemporal divergence which can be controlled by the coupling parameter between the nodes.

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  • Lu, Guangqing & Smidtaite, Rasa & Navickas, Zenonas & Ragulskis, Minvydas, 2018. "The Effect of Explosive Divergence in a Coupled Map Lattice of Matrices," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 308-313.
    • Handle: RePEc:eee:chsofr:v:113:y:2018:i:c:p:308-313
    DOI: 10.1016/j.chaos.2018.06.016
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    Cited by:

    1. Lu, Guangqing & Smidtaite, Rasa & Howard, Daniel & Ragulskis, Minvydas, 2019. "An image hiding scheme in a 2-dimensional coupled map lattice of matrices," Chaos, Solitons & Fractals, Elsevier, vol. 124(C), pages 78-85.
    2. Smidtaite, Rasa & Ragulskis, Minvydas, 2022. "Spiral waves of divergence in the Barkley model of nilpotent matrices," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    3. Zeng, Ziyue & Xiao, Fuyuan, 2023. "A new complex belief entropy of χ2 divergence with its application in cardiac interbeat interval time series analysis," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    4. Smidtaite, Rasa & Ragulskis, Minvydas, 2024. "Finite-time divergence in Chialvo hyperneuron model of nilpotent matrices," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).

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