Diffusion Parameter Control of Spatiotemporal Chaos

Diffusion Parameter Control of Spatiotemporal Chaos

There have been recently a considerable experimental and theoretical effort to characterize Spatiotemporal Chaos (STC) [Cross & Hohenberg, 1994; Gollub, 1994]. Weak STC seems to be an ubiquitous phenomenon in large non-equilibrium systems. In some cases STC arise in the proximity of threshold and can be described within the context of weakly nonlinear theories. These theories are well developed...

Pinning Control of Spatiotemporal Chaos

Linear control theory is used to develop an improved localized control scheme for spatially extended chaotic systems, which is applied to a coupled map lattice as an example. The optimal arrangement of the control sites is shown to depend on the symmetry properties of the system, while their minimal density depends on the strength of noise in the system. The method is shown to work in any regio...

Localized Control of Spatiotemporal Chaos

Many physical, chemical, and biological systems of interest evolve in a nonequilibrium environment. As these systems are driven further out of equilibrium, they tend to display progressively more complicated dynamics, with steady spatially uniform states replaced first by non-chaotic patterned states and eventually by spatiotemporal chaos. This complexity is often undesirable and considerable b...

Impulsive control and synchronization of spatiotemporal chaos

The impulsive control of spatiotemporal chaos of a particular type of non-linear partial differential equations has been investigated. A criterion for the solutions of these partial differential equations to be equi-attractive in the large is determined and an estimate for the basin of attraction is given in terms of the impulse durations and the magnitude of the impulses. Extending these resul...

Associative memory with spatiotemporal chaos control.