Deep learning of chaos classification

Seok Lee, Woo and Flach, Sergej (2020) Deep learning of chaos classification. Machine Learning: Science and Technology, 1 (4). 045019. ISSN 2632-2153

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Abstract

We train an artificial neural network which distinguishes chaotic and regular dynamics of the two-dimensional Chirikov standard map. We use finite length trajectories and compare the performance with traditional numerical methods which need to evaluate the Lyapunov exponent (LE). The neural network has superior performance for short periods with length down to 10 Lyapunov times on which the traditional LE computation is far from converging. We show the robustness of the neural network to varying control parameters, in particular we train with one set of control parameters, and successfully test in a complementary set. Furthermore, we use the neural network to successfully test the dynamics of discrete maps in different dimensions, e.g. the one-dimensional logistic map and a three-dimensional discrete version of the Lorenz system. Our results demonstrate that a convolutional neural network can be used as an excellent chaos indicator.

Item Type: Article
Subjects: Impact Archive > Multidisciplinary
Depositing User: Managing Editor
Date Deposited: 03 Jul 2023 04:20
Last Modified: 25 Oct 2023 03:50
URI: http://research.sdpublishers.net/id/eprint/2631

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