# 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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