Combinatorial models of global dynamics: learning cycling motion from data

2020/01/20 by Bauer, Ulrich, Hien, David, Junge, Oliver +2
#37M99 #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences

paper · doi:10.48550/arxiv.2001.07066

Abstract

We describe a computational method for constructing a coarse combinatorial model of some dynamical system in which the macroscopic states are given by elementary cycling motions of the system. Our method is in particular applicable to time series data. We illustrate the construction by a perturbed double well Hamiltonian as well as the Lorenz system.

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