Singular strange attractors beyond the boundary of hyperbolic flows

被引：0

作者：

Lee, K. ^{[1
]}

Morales, C. A. ^{[2
]}

Pacifico, M. J. ^{[2
]}

机构：

[1] Chungnam Natl Univ, Dept Math, Daejeon 305764, South Korea

[2] Univ Fed Rio De Janeiro, Inst Matemat, POB 68530, BR-21945970 Rio De Janeiro, Brazil

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2023年 / 345卷

关键词：

Flow; Singular strange attractor; Manifold;

D O I：

10.1016/j.jde.2022.11.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the suspension of an expanding attractor in the two-disk can be deformed into a robust singular strange attractor. The deformation is done through an arc of three-dimensional flows with only one bifurcation. The attractors so obtained are not Lorenz-like.(c) 2022 Elsevier Inc. All rights reserved.

引用

页码：104 / 129

页数：26

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