| Issue |
EPL
Volume 151, Number 5, September 2025
|
|
|---|---|---|
| Article Number | 51001 | |
| Number of page(s) | 5 | |
| Section | Statistical physics and networks | |
| DOI | https://doi.org/10.1209/0295-5075/adfe8b | |
| Published online | 03 September 2025 | |
Scaling law of cliques and holes in chaotic systems
1 Institute of Information Economy and Alibaba Business College, Hangzhou Normal University Hangzhou 311121, China
2 Nanxun Innovation Institute, Zhejiang University of Water Resources and Electric Power Hangzhou 310018, China
3 Library of Hangzhou Normal University, Hangzhou Normal University - Hangzhou 311121, China
Received: 5 May 2025
Accepted: 22 August 2025
Abstract
We investigate the algebraic topology of strange attractors in chaotic systems. By mapping strange attractors into networks, the box-covering algorithm is employed to observe the high-order structures at different length scales on the networks. Notably, for a great variety of chaotic systems, we find that the numbers of cliques and holes exhibit distinct scaling laws as the networks expand. Furthermore, we observe that these interesting scaling law behaviors are also established in real-world chaotic systems. Our work unveils the function of cliques and holes in shaping chaotic attractors.
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