Detection of special curves via the double resultant
Ferragut Amengual, Antoni Manel (Universitat Jaume I. Departament de Matemàtiques)
García-Saldaña, Johanna Denise (Universidad de Talca (Xile). Instituto de Matemática y Física)
Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2017
Abstract:	We introduce several applications of the use of the double resultant through some examples of computation of different nature: special level sets of rational first integrals for rational discrete dynamical systems; remarkable values of rational first integrals of polynomial vector fields; bifurcation values in phase portraits of polynomial vector fields; and the different topologies of the offset of curves.
Grants:	Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 Ministerio de Economía y Competitividad MTM2013-40998-P
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Integrability ; Offset of curves ; Remarkable curve ; Resultant
Published in:	Qualitative theory of dynamical systems, Vol. 16 (2017) , p. 101-117, ISSN 1662-3592

DOI: 10.1007/s12346-015-0180-x

Postprint 13 p, 358.8 KB

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