On the limit cycles of quasihomogeneous polynomial systems

In this work, the nonexistence of limit cycles for classes of p - q-quasi-homogeneous polynomial planar systems of weighted degree l is established. Furthermore, we rule out the existence of limits cycles for certain perturbations of such planar systems. We present applications and examples in order...

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Autores:
González-Ramírez, L. Rocío
Osuna, Osvaldo
Santaella-Forero, Rubén
Tipo de recurso:
Article of journal
Fecha de publicación:
2015
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66460
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66460
http://bdigital.unal.edu.co/67488/
Palabra clave:
51 Matemáticas / Mathematics
Integrating factors
Inverse integrating factors, Limit cycles
p - q-quasi-homogeneous systems
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling 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_abf2González-Ramírez, L. Rocío9f9bb5a3-a20c-4c0e-b492-748fd2dc3544300Osuna, Osvaldo1393564f-d7b8-45e5-b7f7-9267bc186d1e300Santaella-Forero, Rubénabe3e1d6-c17f-41b2-a46b-0a6f3539db043002019-07-03T02:10:12Z2019-07-03T02:10:12Z2015-07-01ISSN: 2357-4100https://repositorio.unal.edu.co/handle/unal/66460http://bdigital.unal.edu.co/67488/In this work, the nonexistence of limit cycles for classes of p - q-quasi-homogeneous polynomial planar systems of weighted degree l is established. Furthermore, we rule out the existence of limits cycles for certain perturbations of such planar systems. We present applications and examples in order to illustrate our results.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticashttps://revistas.unal.edu.co/index.php/recolma/article/view/60443Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasGonzález-Ramírez, L. Rocío and Osuna, Osvaldo and Santaella-Forero, Rubén (2015) On the limit cycles of quasihomogeneous polynomial systems. Revista Colombiana de Matemáticas, 49 (2). pp. 261-268. ISSN 2357-410051 Matemáticas / MathematicsIntegrating factorsInverse integrating factors, Limit cyclesp - q-quasi-homogeneous systemsOn the limit cycles of quasihomogeneous polynomial systemsArtículo 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/ARTORIGINAL60443-307341-1-SM.pdfapplication/pdf365690https://repositorio.unal.edu.co/bitstream/unal/66460/1/60443-307341-1-SM.pdf66eb55861bbe4d9a1ce906e11e7bc8b0MD51THUMBNAIL60443-307341-1-SM.pdf.jpg60443-307341-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg4941https://repositorio.unal.edu.co/bitstream/unal/66460/2/60443-307341-1-SM.pdf.jpg05aa09588d9f1db330cdf4a0eed1f31cMD52unal/66460oai:repositorio.unal.edu.co:unal/664602023-05-25 23:02:47.529Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv On the limit cycles of quasihomogeneous polynomial systems
title On the limit cycles of quasihomogeneous polynomial systems
spellingShingle On the limit cycles of quasihomogeneous polynomial systems
51 Matemáticas / Mathematics
Integrating factors
Inverse integrating factors, Limit cycles
p - q-quasi-homogeneous systems
title_short On the limit cycles of quasihomogeneous polynomial systems
title_full On the limit cycles of quasihomogeneous polynomial systems
title_fullStr On the limit cycles of quasihomogeneous polynomial systems
title_full_unstemmed On the limit cycles of quasihomogeneous polynomial systems
title_sort On the limit cycles of quasihomogeneous polynomial systems
dc.creator.fl_str_mv González-Ramírez, L. Rocío
Osuna, Osvaldo
Santaella-Forero, Rubén
dc.contributor.author.spa.fl_str_mv González-Ramírez, L. Rocío
Osuna, Osvaldo
Santaella-Forero, Rubén
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
Integrating factors
Inverse integrating factors, Limit cycles
p - q-quasi-homogeneous systems
dc.subject.proposal.spa.fl_str_mv Integrating factors
Inverse integrating factors, Limit cycles
p - q-quasi-homogeneous systems
description In this work, the nonexistence of limit cycles for classes of p - q-quasi-homogeneous polynomial planar systems of weighted degree l is established. Furthermore, we rule out the existence of limits cycles for certain perturbations of such planar systems. We present applications and examples in order to illustrate our results.
publishDate 2015
dc.date.issued.spa.fl_str_mv 2015-07-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:10:12Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:10:12Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.issn.spa.fl_str_mv ISSN: 2357-4100
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identifier_str_mv ISSN: 2357-4100
url https://repositorio.unal.edu.co/handle/unal/66460
http://bdigital.unal.edu.co/67488/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/recolma/article/view/60443
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.references.spa.fl_str_mv González-Ramírez, L. Rocío and Osuna, Osvaldo and Santaella-Forero, Rubén (2015) On the limit cycles of quasihomogeneous polynomial systems. Revista Colombiana de Matemáticas, 49 (2). pp. 261-268. ISSN 2357-4100
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv 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
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/66460/1/60443-307341-1-SM.pdf
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