Lyapunov analysis of data-driven models of high dimensional dynamics using reservoir computing: Lorenz-96 system and fluid flow

Lyapunov analysis of data-driven models of high dimensional dynamics using reservoir computing: Lorenz-96 system and fluid flow

Blog Article

We computed the Lyapunov spectrum Tree and finite-time Lyapunov exponents of a data-driven model constructed using reservoir computing.This analysis was performed for two dynamics that exhibit a highly dimensionally unstable structure.We NN@6 focused on the reconstruction of heterochaotic dynamics, which are characterized by the coexistence of different numbers of unstable dimensions.This was achieved by computing fluctuations in the number of positive finite-time Lyapunov exponents.