Coexistence of three limit cycles for a septic polynomial differential systems

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dc.contributor.authorGrazem, Mohamed
dc.contributor.authorBendjeddou, Ahmed
dc.contributor.authorCheurfa, Rachid
dc.date.accessioned2021-01-21T06:38:31Z
dc.date.available2021-01-21T06:38:31Z
dc.date.issued2020
dc.description.abstractThe existence of limit cycles is interesting and very important in applications. It is a key to understand the dynamic of polynomial differential systems. The aim of this paper is to investigate a class of planar differential systems of degree seven. Under some suitable conditions, the existence of three limit cycles two of them are non-algebraic while the third is algebraic is proved. Furthermore, these limit cycles are explicitly given in polar coordinates. Some examples are presented in order to illustrate the applicability of our results. © 2020 Inderscience Enterprises Ltd.. All rights reserveden_US
dc.identifier.issn17523583
dc.identifier.otherDOI: 10.1504/IJDSDE.2020.107809
dc.identifier.urihttps://www.scopus.com/record/display.uri?eid=2-s2.0-85086987170&origin=SingleRecordEmailAlert&dgcid=raven_sc_affil_en_us_email&txGid=d04ebf8cfcf52de25d3fa8a0394cfd87
dc.identifier.urihttps://dspace.univ-boumerdes.dz/handle/123456789/6193
dc.language.isoenen_US
dc.publisherInderscience Publishersen_US
dc.relation.ispartofseriesInternational Journal of Dynamical Systems and Differential Equations Volume 10, Issue 3, 2020;pp. 249-267
dc.subjectAlgebraic and non-algebraic limit cycleen_US
dc.subjectFirst integralen_US
dc.subjectPeriodic orbitsen_US
dc.subjectPlanar polynomial differential systemen_US
dc.titleCoexistence of three limit cycles for a septic polynomial differential systemsen_US
dc.typeArticleen_US

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