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DC Field | Value | Language |
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dc.contributor.author | Jorba i Monte, Àngel | - |
dc.contributor.author | Ramírez-Ros, Rafael | - |
dc.contributor.author | Villanueva, Jordi | - |
dc.date.accessioned | 2016-02-08T16:29:00Z | - |
dc.date.available | 2016-02-08T16:29:00Z | - |
dc.date.issued | 1997-01 | - |
dc.identifier.issn | 0036-1410 | - |
dc.identifier.uri | http://hdl.handle.net/2445/69315 | - |
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 quasi-periodic (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 a reduction is also quasi-periodic with the same basic frequencies as Q. The results are illustrated and discussed in a practical example. | - |
dc.format.extent | 11 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Society for Industrial and Applied Mathematics | - |
dc.relation.isformatof | Reproducció del document publicat a: http://dx.doi.org/10.1137/S0036141095280967 | - |
dc.relation.ispartof | SIAM Journal on Mathematical Analysis, 1997, vol. 28, num. 1, p. 178-188 | - |
dc.relation.uri | http://dx.doi.org/10.1137/S0036141095280967 | - |
dc.rights | (c) Society for Industrial and Applied Mathematics., 1997 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Anàlisi global (Matemàtica) | - |
dc.subject.other | Global analysis (Mathematics) | - |
dc.title | Effective Reducibility of Quasi-Periodic Linear Equations close to Constant Coefficients | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 588682 | - |
dc.date.updated | 2016-02-08T16:29:00Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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588682.pdf | 269.92 kB | Adobe PDF | View/Open |
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