Pinning Control of Spatiotemporal Chaos

R. O. Grigoriev, M. C. Cross, and H. G. Schuster
Phys. Rev. Lett. 79, 2795 – Published 13 October 1997
PDFExport Citation

Abstract

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 Hu and Qu [Phys. Rev. Lett. 72, 68 (1994)]. A nonlinear generalization of the method for a 1D lattice is also presented.

  • Received 29 April 1997

DOI:https://doi.org/10.1103/PhysRevLett.79.2795

©1997 American Physical Society

Authors & Affiliations

R. O. Grigoriev, M. C. Cross, and H. G. Schuster

  • Condensed Matter Physics 114-36 and Neural Systems Program 139-74, California Institute of Technology, Pasadena, California 91125

References (Subscription Required)

Click to Expand
Issue

Vol. 79, Iss. 15 — 13 October 1997

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×