Polynomial homogeneous maps and their periods
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Pilyugina, Violetta (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2022
Abstract:	We study the set of periods of the homogeneous polynomial maps f : Rn → Rn and f : Cn → Cn of degree m > 1. For these complex maps we also describe the number of invariant straight lines through the origin by fk for k = 1,2, . . . , and the dynamics of fk over them.
Grants:	Agencia Estatal de Investigación PID2019-104658GB-I00 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Homogeneous polynomial map ; Period ; Set of periods ; Self-maps of a sphere
Published in:	Journal of Nonlinear Modeling and Analysis, Vol. 4, Issue 4 (December 2022) , p. 1-11, ISSN 2562-2854

DOI: 10.12150/jnma.2022.1
DOI: 10.12150/jnma.2022.753

11 p, 354.9 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles