Transfer learning of chaotic systems

DOI10.1063/5.0033870zbMath1458.68165arXiv2011.09970OpenAlexW3120091359MaRDI QIDQ4983636

Xingang Wang, Liang Wang, Han Zhang, Yali Guo, Jinghua Xiao, Huawei Fan

Publication date: 26 April 2021

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.09970

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Time series analysis of dynamical systems (37M10)

Cites Work

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• Reservoir computing approaches to recurrent neural network training
• The synchronization of chaotic systems
• Chen's attractor exists if Lorenz repulsor exists: The Chen system is a special case of the Lorenz system
• Real-Time Computing Without Stable States: A New Framework for Neural Computation Based on Perturbations
• Using machine learning to replicate chaotic attractors and calculate Lyapunov exponents from data
• Detection of generalized synchronization using echo state networks
• On Lorenz and Chen Systems
• Good and bad predictions: Assessing and improving the replication of chaotic attractors by means of reservoir computing
• Path length statistics in reservoir computers
• The reservoir’s perspective on generalized synchronization

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