Dimension Densities for Turbulent Systems with Spatially Decaying Correlation Functions
Gottfried Mayer-Kress
Thomas Kurz
Center For Nonlinear Studies, MS-B258,
Los Alamos National Laboratory, Los Alamos, NM 87545, USA
Abstract
Lattices of coupled maps on the interval are used to test some ideas of Y. Pomeau concerning estimates of the number of degrees of freedom per unit length of a spatially incoherent system. Qualitative agreement is found between dimension densities obtained using two-point measurements at separated lattice points and dimension densities obtained using spatial decay of the correlation function.
