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.
Cite
@article{arxiv.1807.11853,
title = {Visualizing the Template of a Chaotic Attractor},
author = {Maya Olszewski and Jeff Meder and Emmanuel Kieffer and Raphaël Bleuse and Martin Rosalie and Grégoire Danoy and Pascal Bouvry},
journal= {arXiv preprint arXiv:1807.11853},
year = {2021}
}
Comments
Appears in the Proceedings of the 26th International Symposium on Graph Drawing and Network Visualization (GD 2018)