Some open problems in low dimensional dynamical systems

Armengol Gasull ^[1]
1. [1] Universitat Autònoma de Barcelona
  
  Universitat Autònoma de Barcelona
  
  Barcelona, España
Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 78, Nº. 3, 2021, págs. 233-269
Idioma: inglés
DOI: 10.1007/s40324-021-00244-3
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Resumen
- 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 adynamical component.