Self-organization and pattern formation in coupled Lorenz oscillators under a discrete symmetric transformation
ABSTRACT: We present a spatial array of Lorenz oscillators, with each cell lattice in the chaotic regime. This system shows spatial ordering due to self-organization of chaos synchronization after a bifurcation. It is shown that an array of such oscillators transformed under a discrete symmetry grou...
- Autores:
-
Carrillo Loaiza, Alejandro
Rodríguez Rey, Boris Ánghelo
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2011
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/9259
- Acceso en línea:
- http://hdl.handle.net/10495/9259
- Palabra clave:
- Autoorganización de patrones
Osciladores de Lorenz
Simetría
Symmetry
Self-organizing systems
Sistemas de autoorganización
Pattern recognition systems
Sistema de reconocimiento de configuraciones
- Rights
- openAccess
- License
- Atribución-NoComercial-SinDerivadas 2.5 Colombia
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| dc.title.spa.fl_str_mv |
Self-organization and pattern formation in coupled Lorenz oscillators under a discrete symmetric transformation |
| title |
Self-organization and pattern formation in coupled Lorenz oscillators under a discrete symmetric transformation |
| spellingShingle |
Self-organization and pattern formation in coupled Lorenz oscillators under a discrete symmetric transformation Autoorganización de patrones Osciladores de Lorenz Simetría Symmetry Self-organizing systems Sistemas de autoorganización Pattern recognition systems Sistema de reconocimiento de configuraciones |
| title_short |
Self-organization and pattern formation in coupled Lorenz oscillators under a discrete symmetric transformation |
| title_full |
Self-organization and pattern formation in coupled Lorenz oscillators under a discrete symmetric transformation |
| title_fullStr |
Self-organization and pattern formation in coupled Lorenz oscillators under a discrete symmetric transformation |
| title_full_unstemmed |
Self-organization and pattern formation in coupled Lorenz oscillators under a discrete symmetric transformation |
| title_sort |
Self-organization and pattern formation in coupled Lorenz oscillators under a discrete symmetric transformation |
| dc.creator.fl_str_mv |
Carrillo Loaiza, Alejandro Rodríguez Rey, Boris Ánghelo |
| dc.contributor.author.none.fl_str_mv |
Carrillo Loaiza, Alejandro Rodríguez Rey, Boris Ánghelo |
| dc.subject.none.fl_str_mv |
Autoorganización de patrones Osciladores de Lorenz Simetría Symmetry Self-organizing systems Sistemas de autoorganización Pattern recognition systems Sistema de reconocimiento de configuraciones |
| topic |
Autoorganización de patrones Osciladores de Lorenz Simetría Symmetry Self-organizing systems Sistemas de autoorganización Pattern recognition systems Sistema de reconocimiento de configuraciones |
| description |
ABSTRACT: We present a spatial array of Lorenz oscillators, with each cell lattice in the chaotic regime. This system shows spatial ordering due to self-organization of chaos synchronization after a bifurcation. It is shown that an array of such oscillators transformed under a discrete symmetry group, does not maintain the global dynamics, although each transformed unit cell is locally identical to its precursor. Alternatively, it is shown that in a 1-dimensional lattice, the coupling destroy the chaotic behavior but there are similar global behaviors between both coupled arrays, suggesting that is the local equivariance which controls the dynamics. |
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2011 |
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2011 |
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2018-03-14T21:42:32Z |
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2018-03-14T21:42:32Z |
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info:eu-repo/semantics/article |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 http://purl.org/coar/version/c_71e4c1898caa6e32 |
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Artículo de investigación |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.identifier.citation.spa.fl_str_mv |
Carrillo Loaiza, A., & Rodríguez Rey, B. A. (2011). Self-organization and pattern formation in coupled Lorenz oscillators under a discrete symmetric transformation. Journal of Physics: Conference Series. 285(012033), 1-6. DOI:10.1088/1742-6596/285/1/012033 |
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1742-6596 |
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http://hdl.handle.net/10495/9259 |
| dc.identifier.doi.none.fl_str_mv |
10.1088/1742-6596/285/1/012033 |
| dc.identifier.eissn.none.fl_str_mv |
1742-6588 |
| identifier_str_mv |
Carrillo Loaiza, A., & Rodríguez Rey, B. A. (2011). Self-organization and pattern formation in coupled Lorenz oscillators under a discrete symmetric transformation. Journal of Physics: Conference Series. 285(012033), 1-6. DOI:10.1088/1742-6596/285/1/012033 1742-6596 10.1088/1742-6596/285/1/012033 1742-6588 |
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http://hdl.handle.net/10495/9259 |
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eng |
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eng |
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J. Phys.:Conf.Ser |
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Atribución-NoComercial-SinDerivadas 2.5 Colombia |
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info:eu-repo/semantics/openAccess |
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http://creativecommons.org/licenses/by-nc-nd/2.5/co/ |
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openAccess |
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application/pdf |
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Institute of Physics Publishing (IOP) |
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Grupo de Física Atómica y Molecular |
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Reino Unido |
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Universidad de Antioquia |
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Carrillo Loaiza, AlejandroRodríguez Rey, Boris Ánghelo2018-03-14T21:42:32Z2018-03-14T21:42:32Z2011Carrillo Loaiza, A., & Rodríguez Rey, B. A. (2011). Self-organization and pattern formation in coupled Lorenz oscillators under a discrete symmetric transformation. Journal of Physics: Conference Series. 285(012033), 1-6. DOI:10.1088/1742-6596/285/1/0120331742-6596http://hdl.handle.net/10495/925910.1088/1742-6596/285/1/0120331742-6588ABSTRACT: We present a spatial array of Lorenz oscillators, with each cell lattice in the chaotic regime. This system shows spatial ordering due to self-organization of chaos synchronization after a bifurcation. It is shown that an array of such oscillators transformed under a discrete symmetry group, does not maintain the global dynamics, although each transformed unit cell is locally identical to its precursor. Alternatively, it is shown that in a 1-dimensional lattice, the coupling destroy the chaotic behavior but there are similar global behaviors between both coupled arrays, suggesting that is the local equivariance which controls the dynamics.application/pdfengInstitute of Physics Publishing (IOP)Grupo de Física Atómica y MolecularReino Unidoinfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARTArtículo de investigaciónhttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/version/c_71e4c1898caa6e32Atribución-NoComercial-SinDerivadas 2.5 Colombiainfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/2.5/co/http://purl.org/coar/access_right/c_abf2https://creativecommons.org/licenses/by-nc-nd/4.0/Autoorganización de patronesOsciladores de LorenzSimetríaSymmetrySelf-organizing systemsSistemas de autoorganizaciónPattern recognition systemsSistema de reconocimiento de configuracionesSelf-organization and pattern formation in coupled Lorenz oscillators under a discrete symmetric transformationJ. 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