论文标题

低维动力系统中的一些开放问题

Some open problems in low dimensional dynamical systems

论文作者

Gasull, Armengol

论文摘要

本文的目的是与数学社区分享我在研究期间发现的33个问题的列表。我认为,值得考虑他们,希望可以解决一些问题或取得实质性进展。其中许多是关于平面微分方程的,但也存在有关其他数学方面的问题:ABEL微分方程,差异方程,全​​球渐近稳定性,几何问题,涉及多项式的问题或具有动态成分的一些娱乐性问题。

The aim of this paper is to share with the mathematical community a list of 33 problems that I have found along the years during my research. I believe that it is worth to think about them and, hopefully, it will be possible either to solve some of the problems or to 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 or some recreational problems with a dynamical component.

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