Estimation of Lyapunov spectra from space-time data

Abstract

A method to estimate Lyapunov spectra from spatio-temporal data is presented, which is well-suited to be applied to experimental situations. It allows to characterize the high-dimensional chaotic states, with possibly a large number of positive Lyapunov exponents, observed in spatio-temporal chaos. The method is applied to data from a coupled map lattice.

References in corpus (3)

• Karhunen-Lo`eve Decomposition of Extensive Chaos
• The identification of continuous, spatiotemporal systems
• Synchronization and Control of Spatiotemporal Chaos using Time-Series Data from Local Regions

Cited by in corpus (2)

• Local estimates for entropy densities in coupled map lattices
• A quasi-diagonal approach to the estimation of Lyapunov spectra for spatio-temporal systems from multivariate time series