| Issue |
EPL
Volume 141, Number 4, February 2023
|
|
|---|---|---|
| Article Number | 43001 | |
| Number of page(s) | 7 | |
| Section | Fluid and nonlinear dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/acb5be | |
| Published online | 02 February 2023 | |
Unpredictability and basin entropy
1 Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de Física, Universidad Rey Juan Carlos - Móstoles, Madrid, Tulipán s/n, 28933, Spain
2 Department of Physics, Harvard University - Cambridge, MA 02138, USA
3 Department of Applied Informatics, Kaunas University of Technology - Studentu 50-415, Kaunas LT-51368, Lithuania
(a) E-mail: miguel.sanjuan@urjc.es (corresponding author)
Received: 4 November 2022
Accepted: 24 January 2023
The basin entropy is a simple idea that aims to measure the the final state unpredictability of multistable systems. Since 2016, the basin entropy has been widely used in different contexts of physics, from cold atoms to galactic dynamics. Furthermore, it has provided a natural framework to study basins of attraction in nonlinear dynamics and new criteria for the detection of fractal boundaries. In this article, we describe the concept as well as fundamental applications. In addition, we provide our perspective on the future challenges of applying the basin entropy idea to understanding complex systems.
© 2023 EPLA
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