Analytic enclosure of the fundamental matrix solution

R. Castelli, J. Lessard, J.D.M. James

Research output: Contribution to JournalArticleAcademicpeer-review

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
Original languageEnglish
Pages (from-to)617-636
JournalApplications of Mathematics
Volume60
Issue number6
DOIs
Publication statusPublished - 2015

Bibliographical note

PT: J; NR: 13; TC: 0; J9: APPL MATH-CZECH; PG: 20; GA: CZ4RH; UT: WOS:000367089900002

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