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http://hdl.handle.net/10662/18872
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DC Field | Value | Language |
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dc.contributor.author | Chavarriga Soriano, Javier | - |
dc.contributor.author | Salih, Nazim | - |
dc.date.accessioned | 2023-11-30T09:09:37Z | - |
dc.date.available | 2023-11-30T09:09:37Z | - |
dc.date.issued | 2002 | - |
dc.identifier.issn | 0213-8743 | - |
dc.identifier.uri | http://hdl.handle.net/10662/18872 | - |
dc.description.abstract | In this work, we study the Liapunov quantities, the problem of the center, and the local limit cycles of the lopsided systems ẋ = y, ẏ = −x + pk(x, y), when k = 5, 7 and when k is odd. In general, the Liapunov quantities are derived from the focal values η2k+2, but when k = 5, we show that they are derived from the focal values η4k+2. Moreover, when k = 5, the origin is a center if and only if the system is time-reversible and if it is not, no more tan five local limit cycles can bifurcate out of the origin. When k = 7, we show that the origin is a center if and only if the system is time-reversible and if it is not, no more than seven local limit cycles can bifurcate out of the origin under certain conditions. In general, when k is odd, we conjecture that the origin is a center if and only if the system is time-reversible. | es_ES |
dc.description.sponsorship | Partially supported by a DGICYT Grant Number PB96-1153 and CONACIT Grant Number 199956 R 00349. | es_ES |
dc.format.extent | 18 p. | es_ES |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | eng | es_ES |
dc.publisher | Universidad de Extremadura, Servicio de Publicaciones | es_ES |
dc.rights | Attribution-NonCommercial 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ | * |
dc.subject | Problema de enfoque central | es_ES |
dc.subject | Ecuaciones diferenciales no lineales | es_ES |
dc.subject | Center-focus problem | es_ES |
dc.subject | Nonlinear di®erential equations | es_ES |
dc.title | On lopsided systems | es_ES |
dc.type | article | es_ES |
dc.description.version | peerReviewed | es_ES |
europeana.type | TEXT | en_US |
dc.rights.accessRights | openAccess | es_ES |
dc.subject.unesco | 12 Matemáticas | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | CHAVARRIGA SORIANO, J. y SALIG, N. (2002). On lopsided systems. Extracta Mahtematicae, 17 (2), 221-238. E-ISSN 2605-5686 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | Universitat de Lleida | es_ES |
dc.contributor.affiliation | Université de Nice-Sophia Antipolis. France | - |
dc.relation.publisherversion | https://matematicas.unex.es/~extracta/Vol-17-2/17b2chav.pdf | es_ES |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 2 | es_ES |
dc.identifier.publicationfirstpage | 221 | es_ES |
dc.identifier.publicationlastpage | 238 | es_ES |
dc.identifier.publicationvolume | 17 | es_ES |
dc.identifier.e-issn | 2605-5686 | - |
Appears in Collections: | Extracta Mathematicae Vol. 17, nº 2 (2002) |
Files in This Item:
File | Description | Size | Format | |
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2605-5686_17_2_221.pdf | 239,34 kB | Adobe PDF | View/Open |
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