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Pinning control of spatiotemporal chaos

Grigoriev, R. O. and Cross, M. C. and Schuster, H. G. (1997) Pinning control of spatiotemporal chaos. Physical Review Letters, 79 (15). 2795 -2798. ISSN 0031-9007. doi:10.1103/PhysRevLett.79.2795.

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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.

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Additional Information:©1997 The American Physical Society. Received 29 April 1997. The authors thank J.C. Doyle for many fruitful discussions and J. Socolar and D. Egolf for valuable comments that led to improvements to the derivation of Eqs. (15) and (16). This work was partially supported by the NSF through Grant No. DMR-9013984. H.G.S. thanks C. Koch for the kind hospitality extended to him at Caltech and the Volkswagen Foundation for financial support.
Issue or Number:15
Record Number:CaltechAUTHORS:GRIprl97
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5082
Deposited By: Tony Diaz
Deposited On:28 Sep 2006
Last Modified:08 Nov 2021 20:22

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