Unpredictability and basin entropy

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 ba...

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Bibliographic Details
Published in:arXiv.org 2022-12
Main Authors: Daza, Alvar, Wagemakers, Alexandre, Sanjuán, Miguel A F
Format: Article
Language:English
Subjects:
Cold atoms
Complex systems
Dynamical systems
Entropy
Nonlinear dynamics
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2212.14228