Isochronicity conditions for some real polynomial systems

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dc.creatorBoussaada, Islam
dc.date2008-07-01
dc.date.accessioned2026-07-07T09:47:38Z
dc.date.available2026-07-07T09:47:38Z
dc.descriptionThis paper focuses on isochronicity of linear center perturbed by a polynomial. Isochronicity of a linear center perturbed by a degree four and degree five polynomials is studied, several new isochronous centers are found. For homogeneous isochronous perturbations, a first integral and a linearizing change of coordinates are presented. Moreover, a family of Abel polynomial systems is also considered. By investigations until degree 10 we prove the existence of a unique isochronous center. These results are established using a computer implementation based on Urabe theorem.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/0807.0131
dc.identifierhttp://arxiv.org/abs/0807.0131
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163949
dc.subjectClassical Analysis and ODEs
dc.subject34C15, 34C25, 34C37
dc.titleIsochronicity conditions for some real polynomial systems
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