Unpredictability and basin entropy

TL;DR

This paper discusses basin entropy as a measure of unpredictability in multistable systems, highlighting its applications across physics and its role in studying fractal basin boundaries, while also exploring future challenges.

Contribution

It provides a comprehensive overview of basin entropy, its fundamental applications, and perspectives on future challenges in analyzing complex systems.

Findings

Basin entropy effectively quantifies unpredictability in multistable systems.

It has been widely applied in various physics contexts since 2016.

The paper discusses future directions for applying basin entropy.

Abstract

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.