In this article, we discuss some of the recent developments in applying machine learning (ML) techniques to nonlinear dynamical systems. In particular, we demonstrate how to build a suitable ML framework for addressing two specific objectives of relevance: prediction of future evolution of a system and unveiling from given time-series data the analytical form of the underlying dynamics. This article is written in a pedagogical style appropriate for a course in nonlinear dynamics or machine learning.
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References (12)
08Address for Correspondence Sayan Roy, Department of Physics Bhopal Bypass Rd, Bhauri Madhya Pradesh 462 0662016 · Proceedings of the National Academy of Sciences
10Nonlinear Dynamics And Chaos: With Applications To Physics2014 · Biology, Chemistry, And Engineering, Westview Press, Boulder
12On relaxation-oscillations, The London, Edinburgh and Dublin Phil1926 · Mag. & J. of Sci.,