Abstract
In this article, a family of diffeomorphisms with growing horseshoes contained in global attracting regions is presented, where the dimension of the unstable direction can be any fixed integer and a growing horseshoe means that the number of the folds of the horseshoe is increasing as a parameter is varied. Moreover, it is demonstrated that the horseshoe-like attractors are observable for certain parameters. © 2024 Author(s).
| Original language | English |
|---|---|
| Article number | 021106 |
| Number of pages | 12 |
| Journal | Chaos |
| Volume | 34 |
| Issue number | 2 |
| Online published | 29 Feb 2024 |
| DOIs | |
| Publication status | Published - Feb 2024 |
Funding
This research is supported by the Shandong Provincial Natural Science Foundation, China (Grant No. ZR2023MA047).
Publisher's Copyright Statement
- COPYRIGHT TERMS OF DEPOSITED FINAL PUBLISHED VERSION FILE: This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared Xu Zhang, Yukai Wang, Guanrong Chen; An “Observable” horseshoe map. Chaos 1 February 2024; 34 (2): 021106 and may be found at https://doi.org/10.1063/5.0188700.