分段旋转：非双射映射的极限集

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2022-02-26 DOI:10.1080/14689367.2022.2132917

Nicolas B'edaride, Jean-Franccois Bertazzon, I. Kabor'e

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引用次数: 0

摘要

我们考虑平面的非对射分段旋转。这些地图属于Boshernitzan和Goetz在之前的论文中介绍的一个家族。本文导出了极限集大小的一些上界。这改进了[M]。Boshernitzan和A. Goetz，两参数分段旋转的二分法，遍历理论动力学。系统23(3)(2003)，第759-770页。

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Piecewise rotations: limit set for the non-bijective maps

We consider non-bijective piecewise rotations of the plane. These maps belong to a family introduced in previous papers by Boshernitzan and Goetz. We derive in this paper some upper bounds to the size of the limit set. This improves results of [M. Boshernitzan and A. Goetz, A dichotomy for a two-parameter piecewise rotation, Ergodic Theory Dynam. Syst. 23(3) (2003), pp. 759–770.].

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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