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dc.contributor.authorFreire, Emilio
dc.contributor.authorGasull Embid, Armengol
dc.contributor.authorGuillamon Grabolosa, Antoni
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
dc.date.accessioned2007-04-30T07:52:51Z
dc.date.available2007-04-30T07:52:51Z
dc.date.created2000
dc.date.issued2000
dc.identifier.urihttp://hdl.handle.net/2117/800
dc.description.abstractWe present a description of isochronous centres of planar vector fields $X$ by means of their groups of symmetries. More precisely, given a normalizer $U$ of $X$ (i.e., $[X,U]=\mu X$, where $\mu$ is a scalar function), we provide a necessary and sufficient isochronicity condition based on $\mu$. This criterion extends the result of Sabatini and Villarini that establishes the equivalence between isochronicity and the existence of commutators ($[X,U]= 0$). We put also special emphasis on the mechanical aspects of isochronicity; this point of view forces a deeper insight into the potential and quadratic-like Hamiltonian systems. For these families we provide new ways to find isochronous centres, alternative to those already known from the literature.
dc.format.extent14
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 2.5 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/2.5/es/
dc.subject.lcshDynamical systems
dc.subject.lcshDifferential equations
dc.subject.otherisochronous centres
dc.subject.otherquadratic-like Hamiltonian systems
dc.subject.othergroups of symmetries
dc.subject.othernormalizers
dc.titleA characterization of isochronous centres in terms of symmetries
dc.typeArticle
dc.subject.lemacEquacions diferencials ordinàries
dc.contributor.groupUniversitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
dc.subject.amsClassificació AMS::34 Ordinary differential equations::34C Qualitative theory
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory
dc.rights.accessOpen Access
local.personalitzacitaciotrue


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