Hyperlabyrinth chaos: from chaotic walks to spatiotemporal chaos |
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| Authors: | Chlouverakis Konstantinos E Sprott J C |
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| Affiliation: | Department of Informatics and Telecommunications, University of Athens, Athens 15784, Greece. |
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| Abstract: | ![]()
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
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