Upper bounds for the number of limit cycles of some planar polynomial differential systems

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dc.creatorGasull, Armengol
dc.creatorGiacomini, Hector
dc.date2008-03-14
dc.date.accessioned2026-07-07T09:26:54Z
dc.date.available2026-07-07T09:26:54Z
dc.descriptionWe give an effective method for controlling the maximum number of limit cycles of some planar polynomial systems. It is based on a suitable choice of a Dulac function and the application of the well-known Bendixson-Dulac Criterion for multiple connected regions. The key point is a new approach to control the sign of the functions involved in the criterion. The method is applied to several examples.
dc.description14 pages, O figures
dc.identifierhttps://arxiv.org/abs/0803.2209
dc.identifierhttp://arxiv.org/abs/0803.2209
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156917
dc.subjectDynamical Systems
dc.subjectClassical Analysis and ODEs
dc.subject34C05; 34C07
dc.titleUpper bounds for the number of limit cycles of some planar polynomial differential systems
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