与穿孔球同胚的无限曲面耗散同胚的吸引子

IF 1.2 2区数学 Q1 MATHEMATICS

Communications in Contemporary Mathematics Pub Date : 2022-03-30 DOI:10.1142/s0219199722500109

Grzegorz Graff, R. Ortega, Alfonso Ruiz-Herrera

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引用次数: 0

摘要

考虑了一类耗散定向保持的无限环面、裤子或一般任意无限曲面同胚于穿孔球面的同胚。我们证明了在一些同胚类中，这种同胚在不动点上的局部行为，即所谓的反鞍的存在，影响了吸引子的拓扑结构——它不可能是弧连通的。

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Attractors of dissipative homeomorphisms of the infinite surface homeomorphic to a punctured sphere

A class of dissipative orientation preserving homeomorphisms of the infinite annulus, pairs of pants, or generally any infinite surface homeomorphic to a punctured sphere is considered. We prove that in some isotopy classes the local behavior of such homeomorphisms at a fixed point, namely the existence of so-called inverse saddle, impacts the topology of the attractor — it cannot be arcwise connected.

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来源期刊

Communications in Contemporary Mathematics 数学-数学

CiteScore

2.90

自引率

6.20%

发文量

审稿时长

>12 weeks

期刊介绍： With traditional boundaries between various specialized fields of mathematics becoming less and less visible, Communications in Contemporary Mathematics (CCM) presents the forefront of research in the fields of: Algebra, Analysis, Applied Mathematics, Dynamical Systems, Geometry, Mathematical Physics, Number Theory, Partial Differential Equations and Topology, among others. It provides a forum to stimulate interactions between different areas. Both original research papers and expository articles will be published.