Robust Space-Time Intermittency and 1/f Noise
James D. Keller, J. Doyne Farmer
Physica D , vol 23, 413-435 (1986)
Abstract
We investigate a type of intermittency that occurs in space as
well as time, studying a one dimensional lattice of coupled
quadratic maps. This system naturally forms spatial domains.
Motion of the domain walls causes spatially localized changes
from chaotic to almost periodic behavior. The almost periodic
phases have eigenvalues quite close to one, resulting in
long-lived laminar bursts with a 1/f low frequency spectrum.
This behavior has aspects of both Crutchfield and Pomeau-Manneville
intermittency. Unlike Pomeau-Manneville, however, the behavior
that we observe here is quite robust under changes of parameters.
1/f in dynamical system models