### Reconstructing phase space and estimating maximal Lyapunov exponent from experimental time series

###### Written by Ian Kilgore in math on Sun 26 July 2015. Tags: chaos, geometry, research, experimental data,

In the course of my research I needed to demonstrate that some experimental data is chaotic. This post is an example of how I reconstruct phase space from 1-D experimental data by the method of delays, plot the underlying attractor, and estimate the maximal Lyapunov exponent (characterizing the divergence of the system).