Using Machine Learning to Replicate Chaotic Attractors and Calculate Lyapunov Exponents from Data

19 Oct 2017Jaideep PathakZhixin LuBrian R. HuntMichelle GirvanEdward Ott

We use recent advances in the machine learning area known as 'reservoir computing' to formulate a method for model-free estimation from data of the Lyapunov exponents of a chaotic process. The technique uses a limited time series of measurements as input to a high-dimensional dynamical system called a 'reservoir'... (read more)

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