R. Carretero-Gonzalez, S. Orstavik and J. Stark
Quasi-diagonal reconstruction of Lyapunov spectra 
for spatio-temporal systems from multivariate time series
(278K, LaTeX with PS figures)

ABSTRACT.  We use multivariate time-series generated by spatially extended systems 
to reconstruct their entire Lyapunov spectrum. Provided short range, 
or exponentially decaying, spatial 
interactions it is possible to approximately reconstruct the 
Jacobian by a banded matrix. Thus, by applying spatially localised 
reconstructions of the tangent space we estimate the whole Jacobian. This 
method circumvents the ``curse of dimensionality'' when trying 
to spatio-temporally embed the high-dimensional dynamics for extended 
dynamical systems. The technique is illustrated using coupled map lattices 
as prototype models for spatio-temporal chaos.