Isochronicity and Commutation of Polynomial Vector Fields

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dc.creatorVolokitin, E. P.
dc.creatorIvanov, V. V.
dc.date1999-09-16
dc.date.accessioned2026-07-07T05:30:47Z
dc.date.available2026-07-07T05:30:47Z
dc.descriptionWe study a connection between the isochronicity of a center of a polynomial vector field and the existence of a polynomial commuting system. We demonstrate an isochronous system of degree 4 which does not commute with any polynomial system. We prove that among the Newton polynomial systems only the Lienard and Abel systems may commute with transversal polynomial fields. We give a full and constructive description of centralizers of the Abel polynomial systems. We give new examples of isochronous systems.
dc.description21 pages, LaTeX, 5 PostScript Figures
dc.identifierhttps://arxiv.org/abs/math/9909091
dc.identifierhttp://arxiv.org/abs/math/9909091
dc.identifierSiberian Mathematical Journal, Vol.40, No.1, p.22-37
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79110
dc.subjectDynamical Systems
dc.subject34C05
dc.titleIsochronicity and Commutation of Polynomial Vector Fields
dc.typetext

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