论文标题

动态系统的驯服拓扑和非积分性

Tame topology and non-integrability of dynamical systems

论文作者

Hajto, Zbigniew, Mohseni, Rouzbeh

论文摘要

在本文中,我们研究了差异性Galois理论框架内的一般综合性概念。我们专注于不可集成的梯度系统。尽管如此,如果我们将它们视为真实动力学系统,则它们具有具有O-Wimimal类型有限性能的轨迹。

In this paper we study the general concept of integrability in the broad sense within the frame of differential Galois theory. We concentrate on the gradient systems which are not integrable. In spite of it, if we consider them as the real dynamical systems, they have trajectories with finiteness properties of o-minimal type.

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