Numerical tests on pattern formation in 2d heterogeneous mediums: an approach using the schnakenberg model
This paper presents several numerical tests performed on Turing space when spatial parameters in reaction-diffusion equations changes. The tests are performed in 2D on square units in which we perform subdivisions (subdomains). In each subdomain we set parameters that correspond to different wave nu...
- Autores:
-
Garzón Alvarado, Diego Alexander
Galeano Urueña, Carlos Humberto
Mantilla González, Juan Miguel
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2012
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/40654
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/40654
http://bdigital.unal.edu.co/30751/
- Palabra clave:
- Reaction-diffusion
Turing instabilities
heterogeneous medium
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Garzón Alvarado, Diego Alexanderfcfe76cc-ea26-4509-b04a-1e11922eb4c2300Galeano Urueña, Carlos Humbertoa3d2f25d-8baa-4b80-af64-699392b66e77300Mantilla González, Juan Miguelda6ddb8f-efb4-4db4-aa2b-6591d3993e793002019-06-28T09:37:46Z2019-06-28T09:37:46Z2012https://repositorio.unal.edu.co/handle/unal/40654http://bdigital.unal.edu.co/30751/This paper presents several numerical tests performed on Turing space when spatial parameters in reaction-diffusion equations changes. The tests are performed in 2D on square units in which we perform subdivisions (subdomains). In each subdomain we set parameters that correspond to different wave numbers and therefore presents a heterogeneous medium. Each wave number is predicted by the linear stability theory and correspond to different Turing patterns. The reaction equation chosen is that of Schnakenberg. The results show complex patterns that mix bands and spots, as well as patterns that do not correspond with the original patterns that could be found independently in each subdomain.application/pdfspaUniversidad Nacional de Colombia Sede Medellínhttp://revistas.unal.edu.co/index.php/dyna/article/view/29662Universidad Nacional de Colombia Revistas electrónicas UN DynaDynaDyna; Vol. 79, núm. 172 (2012); 56-66 DYNA; Vol. 79, núm. 172 (2012); 56-66 2346-2183 0012-7353Garzón Alvarado, Diego Alexander and Galeano Urueña, Carlos Humberto and Mantilla González, Juan Miguel (2012) Numerical tests on pattern formation in 2d heterogeneous mediums: an approach using the schnakenberg model. Dyna; Vol. 79, núm. 172 (2012); 56-66 DYNA; Vol. 79, núm. 172 (2012); 56-66 2346-2183 0012-7353 .Numerical tests on pattern formation in 2d heterogeneous mediums: an approach using the schnakenberg modelArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTReaction-diffusionTuring instabilitiesheterogeneous mediumORIGINAL29662-157592-1-PB.htmltext/html52680https://repositorio.unal.edu.co/bitstream/unal/40654/1/29662-157592-1-PB.html92c501555e55700cd7e1acfb15a6c768MD5129662-106533-1-PB.pdfapplication/pdf1389902https://repositorio.unal.edu.co/bitstream/unal/40654/2/29662-106533-1-PB.pdf63ac76650cde21b84fecc012034a2586MD52THUMBNAIL29662-106533-1-PB.pdf.jpg29662-106533-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg8896https://repositorio.unal.edu.co/bitstream/unal/40654/3/29662-106533-1-PB.pdf.jpge3c6d7e417ae186483c0cbfff926805bMD53unal/40654oai:repositorio.unal.edu.co:unal/406542023-01-30 23:03:37.582Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
Numerical tests on pattern formation in 2d heterogeneous mediums: an approach using the schnakenberg model |
| title |
Numerical tests on pattern formation in 2d heterogeneous mediums: an approach using the schnakenberg model |
| spellingShingle |
Numerical tests on pattern formation in 2d heterogeneous mediums: an approach using the schnakenberg model Reaction-diffusion Turing instabilities heterogeneous medium |
| title_short |
Numerical tests on pattern formation in 2d heterogeneous mediums: an approach using the schnakenberg model |
| title_full |
Numerical tests on pattern formation in 2d heterogeneous mediums: an approach using the schnakenberg model |
| title_fullStr |
Numerical tests on pattern formation in 2d heterogeneous mediums: an approach using the schnakenberg model |
| title_full_unstemmed |
Numerical tests on pattern formation in 2d heterogeneous mediums: an approach using the schnakenberg model |
| title_sort |
Numerical tests on pattern formation in 2d heterogeneous mediums: an approach using the schnakenberg model |
| dc.creator.fl_str_mv |
Garzón Alvarado, Diego Alexander Galeano Urueña, Carlos Humberto Mantilla González, Juan Miguel |
| dc.contributor.author.spa.fl_str_mv |
Garzón Alvarado, Diego Alexander Galeano Urueña, Carlos Humberto Mantilla González, Juan Miguel |
| dc.subject.proposal.spa.fl_str_mv |
Reaction-diffusion Turing instabilities heterogeneous medium |
| topic |
Reaction-diffusion Turing instabilities heterogeneous medium |
| description |
This paper presents several numerical tests performed on Turing space when spatial parameters in reaction-diffusion equations changes. The tests are performed in 2D on square units in which we perform subdivisions (subdomains). In each subdomain we set parameters that correspond to different wave numbers and therefore presents a heterogeneous medium. Each wave number is predicted by the linear stability theory and correspond to different Turing patterns. The reaction equation chosen is that of Schnakenberg. The results show complex patterns that mix bands and spots, as well as patterns that do not correspond with the original patterns that could be found independently in each subdomain. |
| publishDate |
2012 |
| dc.date.issued.spa.fl_str_mv |
2012 |
| dc.date.accessioned.spa.fl_str_mv |
2019-06-28T09:37:46Z |
| dc.date.available.spa.fl_str_mv |
2019-06-28T09:37:46Z |
| dc.type.spa.fl_str_mv |
Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/publishedVersion |
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http://purl.org/coar/resource_type/c_6501 |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Text |
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http://purl.org/redcol/resource_type/ART |
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publishedVersion |
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https://repositorio.unal.edu.co/handle/unal/40654 |
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http://bdigital.unal.edu.co/30751/ |
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https://repositorio.unal.edu.co/handle/unal/40654 http://bdigital.unal.edu.co/30751/ |
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spa |
| language |
spa |
| dc.relation.spa.fl_str_mv |
http://revistas.unal.edu.co/index.php/dyna/article/view/29662 |
| dc.relation.ispartof.spa.fl_str_mv |
Universidad Nacional de Colombia Revistas electrónicas UN Dyna Dyna |
| dc.relation.ispartofseries.none.fl_str_mv |
Dyna; Vol. 79, núm. 172 (2012); 56-66 DYNA; Vol. 79, núm. 172 (2012); 56-66 2346-2183 0012-7353 |
| dc.relation.references.spa.fl_str_mv |
Garzón Alvarado, Diego Alexander and Galeano Urueña, Carlos Humberto and Mantilla González, Juan Miguel (2012) Numerical tests on pattern formation in 2d heterogeneous mediums: an approach using the schnakenberg model. Dyna; Vol. 79, núm. 172 (2012); 56-66 DYNA; Vol. 79, núm. 172 (2012); 56-66 2346-2183 0012-7353 . |
| dc.rights.spa.fl_str_mv |
Derechos reservados - Universidad Nacional de Colombia |
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http://purl.org/coar/access_right/c_abf2 |
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Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
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info:eu-repo/semantics/openAccess |
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Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
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