Some open problems in low dimensional dynamical systems
Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Data:	2021
Resum:	The aim of this paper is to share with the mathematical community a list of 33 problems that I have found along the years in my research. I believe that it is worth to think about them and, hopefully, solve some of the problems or make some substantial progress. Many of them are about planar differential equations but there are also questions about other mathematical aspects: Abel differential equations, difference equations, global asymptotic stability, geometrical questions, problems involving polynomials and some recreational problems with a dynamical component.
Ajuts:	Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 Agencia Estatal de Investigación PID2019-104658GB-I00
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Matèria:	Limit cycle ; Period function ; Center ; Abel differential equation ; Piecewise linear differential equation ; Global asymptotic stability ; Fewnomials ; Conjectures ; Open problems
Publicat a:	SeMA Journal, Vol. 78, Issue 3 (September 2021) , p. 233-269, ISSN 2281-7875

DOI: 10.1007/s40324-021-00244-3

Postprint 37 p, 677.7 KB

El registre apareix a les col·leccions:
Documents de recerca > Documents dels grups de recerca de la UAB > Centres i grups de recerca (producció científica) > Ciències > GSD (Grup de sistemes dinàmics)
Articles > Articles de recerca
Articles > Articles publicats