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Multi-state coupled map lattices

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  • Martins, Luciano C
  • Brunnet, Leonardo G

Abstract

We investigate a two-dimensional locally coupled map lattice (CML) with the local dynamics driven by the multi-attractor quartic map. In particular, we explore a region where two local fixed points exist, one being periodic and the other chaotic. Different sets of initial conditions such as random initial values for each site or arrangements favoring equal weights to the different local attractors were used. The system reaches different asymptotic states as the intensity or the topology of the local coupling is varied. Among the asymptotic states, we find either homogeneous collective behavior or mixtures of these with synchronized states. These states are characterized and interpreted throughout this work by the distributions of the values of the maps and by the average roughness over the lattice.

Suggested Citation

  • Martins, Luciano C & Brunnet, Leonardo G, 2001. "Multi-state coupled map lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 296(1), pages 119-130.
    • Handle: RePEc:eee:phsmap:v:296:y:2001:i:1:p:119-130
    DOI: 10.1016/S0378-4371(01)00167-4
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    Cited by:

    1. Karataieva, Tatiana & Koshmanenko, Volodymyr & Krawczyk, Małgorzata J. & Kułakowski, Krzysztof, 2019. "Mean field model of a game for power," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 535-547.
    2. Disconzi, Marcelo M. & Brunnet, Leonardo G., 2006. "Dynamics at the interface dividing collective chaotic and synchronized periodic states in a CML," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 360(2), pages 159-170.

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