Polynomial Differential Equations with Small coefficients

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dc.creatorAlwash, M. A. M.
dc.date2009-04-17
dc.date.accessioned2026-07-07T13:05:44Z
dc.date.available2026-07-07T13:05:44Z
dc.descriptionClasses of polynomial differential equations of degree n are considered. An explicit upper bound on the size of the coefficients are given which implies that each equation in the class has exactly n complex periodic solutions. In most of the classes the upper bound can be improved when we consider real periodic solutions. We present a proof to a recent conjecture on the number of periodic solutions. The results are used to give upper bounds for the number of limit cycles of polynomial two-dimensional systems.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0904.2756
dc.identifierhttp://arxiv.org/abs/0904.2756
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227582
dc.subjectClassical Analysis and ODEs
dc.subjectDynamical Systems
dc.subject34C25; 34C07; 34C05
dc.titlePolynomial Differential Equations with Small coefficients
dc.typetext

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