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Title of Journal: Appl Math

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Abbravation: Applications of Mathematics

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Springer Berlin Heidelberg

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DOI

10.1007/s11117-012-0216-2

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1572-9109

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Analytic enclosure of the fundamental matrix solut

Authors: Roberto Castelli JeanPhilippe Lessard Jason D Mireles James
Publish Date: 2015/12/22
Volume: 60, Issue: 6, Pages: 617-636
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Abstract

This work describes a method to rigorously compute the real Floquet normal form decomposition of the fundamental matrix solution of a system of linear ODEs having periodic coefficients The Floquet normal form is validated in the space of analytic functions The technique combines analytical estimates and rigorous numerical computations and no rigorous integration is needed An application to the theory of dynamical system is presented together with a comparison with the results obtained by computing the enclosure in the C s category

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