Hyperlabyrinth chaos: from chaotic walks to spatiotemporal chaos.

@article{Chlouverakis2007HyperlabyrinthCF,
  title={Hyperlabyrinth chaos: from chaotic walks to spatiotemporal chaos.},
  author={Konstantinos E. Chlouverakis and Julien Clinton Sprott},
  journal={Chaos},
  year={2007},
  volume={17 2},
  pages={
          023110
        }
}
In this paper we examine a very simple and elegant example of high-dimensional chaos in a coupled array of flows in ring architecture that is cyclically symmetric and can also be viewed as an N-dimensional spatially infinite labyrinth (a "hyperlabyrinth"). The scaling laws of the largest Lyapunov exponent, the Kaplan-Yorke dimension, and the metric entropy are investigated in the high-dimensional limit (3<N<or=101) together with its routes to chaos. It is shown that by tuning the single… 
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