Differential systems with Fuchsian linear part: correction and linearization, normal forms and multiple orthogonal polynomials

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dc.creatorCostin, Rodica D.
dc.date2008-08-26
dc.date.accessioned2026-07-07T09:58:28Z
dc.date.available2026-07-07T09:58:28Z
dc.descriptionDifferential systems with a Fuchsian linear part are studied in regions including all the singularities in the complex plane of these equations. Such systems are not necessarily analytically equivalent to their linear part (they are not linearizable) and obstructions are found as a unique nonlinear correction after which the system becomes formally linearizable. More generally, normal forms are found. The corrections and the normal forms are found constructively. Expansions in multiple orthogonal polynomials and their generalization to matrix-valued polynomials are instrumental to these constructions.
dc.description24 pages
dc.identifierhttps://arxiv.org/abs/0808.3499
dc.identifierhttp://arxiv.org/abs/0808.3499
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167728
dc.subjectClassical Analysis and ODEs
dc.subjectDynamical Systems
dc.subject34C20, 34M35 (Primary) 05E35 (Secondary)
dc.titleDifferential systems with Fuchsian linear part: correction and linearization, normal forms and multiple orthogonal polynomials
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