We investigate the quintessence scalar field model modified by the generalized uncertainty principle in the background of a spatially flat homogeneous and isotropic universe. By performing a dynamical system analysis we examine the nature of the critical points and their stability for two potentials, one is the exponential potential and the other is a general potential. In the case of an exponential potential, we find some new critical points for this modified quintessence scenario that describe the de Sitter universes, and these critical points do not appear in the standard quintessence model with an exponential potential. This is one of the main results of this work. Now for the general potential our analysis shows that the physical properties of the critical points remain exactly the same as for the exponential potential which means that within this modified quintessence scenario all kind of potentials have same behaviour. This kind of result is completely new in cosmology because with the change of the potential, differences are usually expected in all respect.

我们研究了在空间平坦的均匀各向同性宇宙背景下，由广义不确定性原理修正的典型标量场模型。通过进行动力学系统分析，我们检查了临界点的性质及其对于两种电位的稳定性，一种是指数电位，另一种是一般电位。在具有指数势的情况下，我们发现了这种改进的典型场景中描述de Sitter宇宙的一些新的临界点，并且这些临界点没有出现在具有指数势的标准典型模型中。这是这项工作的主要成果之一。现在，对于一般电位，我们的分析表明，临界点的物理性质与指数电位完全相同，这意味着在这种改进的典型情形下，所有种类的电位都具有相同的行为。这种结果在宇宙学中是全新的，因为随着电势的变化，通常在各个方面都可能会有差异。