Analytic enclosure of the fundamental matrix solution

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

doi:10.1007/s10492-015-0114-6

Analytic enclosure of the fundamental matrix solution

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

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-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 language	English
Pages (from-to)	617-636
Journal	Applications of Mathematics
Volume	60
Issue number	6
DOIs	https://doi.org/10.1007/s10492-015-0114-6
Publication status	Published - 2015

Bibliographical note

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

Access to Document

10.1007/s10492-015-0114-6

Persistent URL (handle)

Persistent link

Cite this

@article{cca7036b3cfc4f10bd0ebcb82c33a8bf,

title = "Analytic enclosure of the fundamental matrix solution",

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",

author = "R. Castelli and J. Lessard and J.D.M. James",

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

year = "2015",

doi = "10.1007/s10492-015-0114-6",

language = "English",

volume = "60",

pages = "617--636",

journal = "Applications of Mathematics",

issn = "0862-7940",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "6",

}

TY - JOUR

T1 - Analytic enclosure of the fundamental matrix solution

AU - Castelli, R.

AU - Lessard, J.

AU - James, J.D.M.

N1 - PT: J; NR: 13; TC: 0; J9: APPL MATH-CZECH; PG: 20; GA: CZ4RH; UT: WOS:000367089900002

PY - 2015

Y1 - 2015

N2 - 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

AB - 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

U2 - 10.1007/s10492-015-0114-6

DO - 10.1007/s10492-015-0114-6

M3 - Article

SN - 0862-7940

VL - 60

SP - 617

EP - 636

JO - Applications of Mathematics

JF - Applications of Mathematics

IS - 6

ER -

Analytic enclosure of the fundamental matrix solution

Abstract

Bibliographical note

Access to Document

Persistent URL (handle)

Fingerprint

Cite this