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.
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页码：104 / 129
页数：26
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