Abstract
Most classical chaotic systems, such as the Lorenz system and the Chua circuit, have chaotic attractors in bounded regions. This article constructs and analyzes a different kind of non-smooth impulsive systems, which have growing numbers of attractors in the sense that the number of attractors or the scrolls of an attractor is growing as time increases, and these attractors or scrolls are not located in bounded regions. It is found that infinitely many chaotic attractors can be generated in some of such systems. As an application, both theoretical and numerical analyses of an impulsive Lorenz-like system with infinitely many attractors are demonstrated.
| Original language | English |
|---|---|
| Article number | 071102 |
| Journal | Chaos |
| Volume | 32 |
| Issue number | 7 |
| Online published | 28 Jul 2022 |
| DOIs | |
| Publication status | Published - Jul 2022 |
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 in Xu Zhang and Guanrong Chen, "Impulsive systems with growing numbers of chaotic attractors", Chaos 32, 071102 (2022) and may be found at https://doi.org/10.1063/5.0102521.