dc.contributor.author Jorba, Angel dc.contributor.author Ramírez Ros, Rafael dc.contributor.author Villanueva Castelltort, Jordi dc.contributor.other Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I dc.date.accessioned 2007-05-08T17:15:53Z dc.date.available 2007-05-08T17:15:53Z dc.date.created 1995 dc.date.issued 1995 dc.identifier.uri http://hdl.handle.net/2117/948 dc.description.abstract Let us consider the differential equation $$\dot{x}=(A+\varepsilon Q(t,\varepsilon))x, \;\;\;\; |\varepsilon|\le\varepsilon_0,$$ where $A$ is an elliptic constant matrix and $Q$ depends on time in a quasiperiodic (and analytic) way. It is also assumed that the eigenvalues of $A$ and the basic frequencies of $Q$ satisfy a diophantine condition. Then it is proved that this system can be reduced to $$\dot{y}=(A^{*}(\varepsilon)+\varepsilon R^{*}(t,\varepsilon))y, \;\;\;\; |\varepsilon|\le\varepsilon_0,$$ where $R^{*}$ is exponentially small in $\varepsilon$, and the linear change of variables that performs such reduction is also quasiperiodic with the same basic frequencies than $Q$. The results are illustrated and discussed in a practical example. dc.format.extent 11 dc.language.iso eng dc.rights Attribution-NonCommercial-NoDerivs 2.5 Spain dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/2.5/es/ dc.subject.lcsh Differential equations dc.subject.lcsh Global analysis (Mathematics) dc.subject.other quasiperiodic Floquet theorem dc.subject.other quasiperiodic perturbations dc.subject.other reducibility of linear equations dc.title Effective reducibility of quasiperiodic linear equations close to constant coefficients dc.type Article dc.subject.lemac Equacions diferencials ordinàries dc.subject.lemac Varietats (Matemàtica) dc.contributor.group Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions dc.subject.ams Classificació AMS::34 Ordinary differential equations::34A General theory dc.subject.ams Classificació AMS::34 Ordinary differential equations::34C Qualitative theory dc.subject.ams Classificació AMS::58 Global analysis, analysis on manifolds dc.rights.access Open Access
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