Asymptotic dynamics of a difference equation with a parabolic equilibrium
Coll, Bartomeu (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica)
Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Prohens, Rafel (Universitat de les Illes Balears. Departament de Ciències Matemàtiques i Informàtica)

Date:	2020
Abstract:	The aim of this work is the study of the asymptotic dynamical behaviour, of solutions that approach parabolic fixed points in difference equations. In one dimensional difference equations, we present the asymptotic development for positive solutions tending to the fixed point. For higher dimensions, through the study of two families of difference equations in the two and three dimensional case, we take a look at the asymptotic dynamic behaviour. To show the existence of solutions we rely on the parametrization method.
Grants:	Ministerio de Ciencia y Tecnología MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 Ministerio de Ciencia e Innovación MTM2017-83568-P Ministerio de Ciencia e Innovación MTM2014-54275-P
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Difference equations ; Parabolic equilibrium ; Asymptotic development
Published in:	Qualitative theory of dynamical systems, Vol. 19, Issue 2 (August 2020) , art. 70, ISSN 1662-3592

DOI: 10.1007/s12346-020-00406-0

Postprint 23 p, 682.7 KB

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