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Book Sections Year : 2018

Visualizing the Template of a Chaotic Attractor

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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Dates and versions

hal-02099518 , version 1 (15-04-2019)

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Maya Olszewski, Jeff Meder, Emmanuel Kieffer, Raphaël Bleuse, Martin Rosalie, et al.. Visualizing the Template of a Chaotic Attractor. Graph Drawing and Network Visualization, , pp.106-119, 2018, 26th International Symposium, GD 2018, Barcelona, Spain, September 26-28, 2018, Proceedings, 978-3-030-04413-8. ⟨10.1007/978-3-030-04414-5_8⟩. ⟨hal-02099518⟩

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