论球面上某些地图的距离和可拓性

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2022-09-12 DOI:10.1080/14689367.2023.2248013

M. Choudhuri, Gianluca Faraco, Alok Yadav

引用次数: 0

摘要

任何在(n+1)维欧几里德空间上的仿射映射都会产生一个在n维球面上的自然映射，其动力学方面在文献中没有得到很好的研究。我们通过调查这些地图的距离和扩展性来探索这些地图的动态方面。

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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On the distality and expansivity of certain maps on spheres

Any affine map on the (n+1)-dimensional Euclidean space gives rise to a natural map on the n-dimensional sphere whose dynamical aspects are not so well-studied in the literature. We explore the dynamical aspects of these maps by investigating about their distality and expansivity.

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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