Chaotic mechanism description by an elementary mixer for the template of an attractor
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arXiv
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| Format: | Preprint |
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2017
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| _version_ | 1866911128220598272 |
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| author | Rosalie, Martin |
| author_facet | Rosalie, Martin |
| contents | 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 Poincaré 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1703_02768 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Chaotic mechanism description by an elementary mixer for the template of an attractor Rosalie, Martin Chaotic Dynamics 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 Poincaré 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. |
| title | Chaotic mechanism description by an elementary mixer for the template of an attractor |
| topic | Chaotic Dynamics |
| url | https://arxiv.org/abs/1703.02768 |