Robust Space-Time Intermittency And 1/f Noise

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.