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arXiv · 1807.11853

Visualizing the Template of a Chaotic Attractor

Maya Olszewski·Jeff Meder·Emmanuel Kieffer·Raphaël Bleuse·Martin Rosalie·Grégoire Danoy·Pascal Bouvry
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Abstract

Chaotic attractors are solutions of deterministic processes, of which the topology can be described by templates. We consider templates of chaotic attractors bounded by a genus-1 torus described by a linking matrix. This article introduces a novel and unique tool to validate a linking matrix, to optimize the compactness of the corresponding template and to draw this template. The article provides a detailed description of the different validation steps and the extraction of an order of crossings from the linking matrix leading to a template of minimal height. Finally, the drawing process of the template corresponding to the matrix is saved in a Scalable Vector Graphics (SVG) file.

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Maya Olszewski, Jeff Meder, Emmanuel Kieffer, Raphaël Bleuse, Martin Rosalie, Grégoire Danoy, Pascal Bouvry. 2018-07-31. Visualizing the Template of a Chaotic Attractor. https://doi.org/10.1007/978-3-030-04414-5_8

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