Approximate linear representations of nonlinear dynamics have long been sought, driving considerable interest in Koopman theory.  This work combines delay embedding and Koopman theory to decompose chaotic dynamics into a linear model in the leading delay coordinates with forcing by low-energy delay coordinates; this is called the Hankel alternative view of Koopman (HAVOK) analysis. 
Koopman theory
This analysis is applied to the Lorenz system and real-world examples including Earth's magnetic field reversal and measles outbreaks. 
Lorenz system