Pinning Control of Spatiotemporal Chaos

Details Pinning Control of Spatiotemporal Chaos Pinning Control of Spatiotemporal Chaos

1997-04-30

arxiv.org/abs/chao-dyn/9705001v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.79.2795

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 region of parameter space and requires a significantly smaller number of controllers compared to the method proposed earlier by Qu and Hu. A nonlinear generalization of the method for a 1-d lattice is also presented.

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