Journal article
Evidence for low dimensional chaos in sunspot cycles
Astronomy and astrophysics (Berlin), v 449(1), pp 379-387
Apr 2006
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Abstract
Sunspot cycles are widely used for investigating solar activity. In 1953 Bracewell argued that it is sometimes desirable to introduce the inversion of the magnetic field polarity, and that can be done with a sign change at the beginning of each cycle. It will be shown in this paper that, for topological reasons, this so-called Bracewell index is inappropriate and that the symmetry must be introduced in a more rigorous way by a coordinate transformation. The resulting symmetric dynamics is then favourably compared with a symmetrized phase portrait reconstructed from the z-variable of the Rössler system. Such a link with this latter variable – which is known to be a poor observable of the underlying dynamics – could explain the general difficulty encountered in finding evidence of low-dimensional dynamics in sunspot data.
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Details
- Title
- Evidence for low dimensional chaos in sunspot cycles
- Creators
- C. Letellier - Institut National des Sciences Appliquées de RouenL. A. Aguirre - Universidade Federal de Minas GeraisJ. Maquet - Institut National des Sciences Appliquées de RouenR. Gilmore - Drexel University
- Publication Details
- Astronomy and astrophysics (Berlin), v 449(1), pp 379-387
- Publisher
- EDP Sciences
- Number of pages
- 9
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:000235991600038
- Scopus ID
- 2-s2.0-33645654441
- Other Identifier
- 991019167912904721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Astronomy & Astrophysics