Papers › Unpredictability and basin entropy

Unpredictability and basin entropy

29 Dec 2022arXiv:2212.14228links table onlyarchive 2025-07-28

Alvar Daza, Alexandre Wagemakers, Miguel A. F. Sanjuán

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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.

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