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Labyrinth chaos: Revisiting the elegant, chaotic, and hyperchaotic walks

Basios, Vasileios and Antonopoulos, Chris G and Latifi, Anouchah (2020) 'Labyrinth chaos: Revisiting the elegant, chaotic, and hyperchaotic walks.' Chaos: an interdisciplinary journal of nonlinear science. ISSN 1054-1500

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Abstract

Labyrinth chaos was discovered by Otto Rössler and René Thomas in their endeavour to identify the necessary mathematical conditions for the appearance of chaotic and hyperchaotic motion in continuous flows. Here, we celebrate their discovery by considering a single labyrinth walks system and an array of coupled labyrinth chaos systems that exhibit complex, chaotic behaviour, reminiscent of chimera-like states, a peculiar synchronisation phenomenon. We discuss the properties of the single labyrinth walks system and review the ability of coupled labyrinth chaos systems to exhibit chimera-like states due to the unique properties of their space-filling, chaotic trajectories, what amounts to elegant, hyperchaotic walks. Finally, we discuss further implications in relation to the labyrinth walks system by showing that even though it is volume-preserving, it is not force-conservative.

Item Type: Article
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Elements
Date Deposited: 24 Nov 2020 16:20
Last Modified: 24 Nov 2020 17:15
URI: http://repository.essex.ac.uk/id/eprint/28962

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