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Título: | Direct transition to high-dimensional chaos through a global bifurcation |
Autor: | Pazó, Diego CSIC ORCID ; Matías, Manuel A. CSIC ORCID | Palabras clave: | [PACS] High-dimensional chaos [PACS] Synchronization; coupled oscillators Chaotic Dynamics |
Fecha de publicación: | 21-sep-2005 | Editor: | EDP Sciences | Citación: | Europhysics Letters 72(2): 176-182 (2005) | Resumen: | In the present work we report on a genuine route by which a high-dimensional (with d>=4) chaotic attractor is created directly, i.e., without a low-dimensional chaotic attractor as an intermediate step. The high-dimensional chaotic set is created in a heteroclinic global bifurcation that yields an in nite number of unstable tori. The mechanism is illustrated using a system constructed by coupling three Lorenz oscillators. So, the route presented here can be considered a prototype for high-dimensional chaotic behavior just as the Lorenz model is for low-dimensional chaos. | Descripción: | 7 pages, 4 figures.-- PACS nrs.: 05.45.Jn, 05.45.Xt.-- ArXiv pre-print available: http://arxiv.org/abs/nlin.CD/0407039 | Versión del editor: | http://dx.doi.org/10.1209/epl/i2005-10239-3 | URI: | http://hdl.handle.net/10261/7482 | DOI: | 10.1209/epl/i2005-10239-3 | ISSN: | 0295-5075 |
Aparece en las colecciones: | (IFISC) Artículos |
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epl_dirtran.pdf | 1,19 MB | Adobe PDF | Visualizar/Abrir |
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