A topological characterization of periodic flows

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2022-10-04 DOI:10.1080/14689367.2022.2130033

Khadija Ben Rejeb

引用次数: 0

Abstract

Let be a continuous flow of homeomorphisms of a connected n-manifold M. The flow G is called periodic if: for some real s>0, . A global section for a flow G is a closed subset K of M such that every orbit under G intersects K in exactly one point. In this paper, we give a topological characterization of periodic flows with global sections for . Next, we consider periodic flows defined on any connected n-manifold M, and we give a similar local characterization.

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周期流的拓扑特征

设为连通n-流形M的同胚的连续流。流G称为周期流，如果：对于一些实s>0。流G的全局截面是M的闭子集K，使得G下的每个轨道正好在一个点上与K相交。本文给出了具有全局截面的周期流的拓扑特征。接下来，我们考虑定义在任何连通n流形M上的周期流，并给出了类似的局部特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Dynamical Systems-An International Journal 物理-力学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences