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arXiv · 1703.02768

Chaotic mechanism description by an elementary mixer for the template of an attractor

Martin Rosalie
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Abstract

A template describes the topological properties of a chaotic attractor. For attractors bounded by genus-1 torus, a linking matrix describes the topology of the template. It has been shown that the template depends on the Poincar\'e section chosen to perform the topological characterisation: four linking matrices describe four templates of the same chaotic attractor. The purpose of this article is to present a framework providing the elementary mixer of a template to have a unique way to describe chaotic mechanism and dynamics of a chaotic attractor. In this framework, chaotic mechanisms are represented by elementary mixers defined by elementary linking matrix. Using concatenation between mixers, a classification of chaotic mechanisms is proposed to categorise them by their size.

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Martin Rosalie. 2017-03-08. Chaotic mechanism description by an elementary mixer for the template of an attractor. https://arxiv.org/abs/1703.02768

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