PMID: 11308935Apr 20, 2001Paper

Controlling spatiotemporal chaos via phase space compression

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
X Zhang, K Shen

Abstract

We present a simple and effective method for controlling spatiotemporal chaos (STC) via phase space compression, by compressing the evolution orbit of the chaotic attractor. In numerical simulations, we obtain global and local control in coupled map lattice (CML) systems by the same phase space compression in different situations, and find that the functional relationship of control results to control parameters in a certain region is the same as the local dynamics expression of the CML. According to the control equation, using different phase space compressions we successfully control a CML exhibiting STC into various desired stable states.

References

Jan 3, 1994·Physical Review Letters·H Gang, Z h i l i n Qu
Feb 21, 1994·Physical Review Letters·D Auerbach
Apr 29, 1996·Physical Review Letters·W LuR G Harrison
Aug 26, 1996·Physical Review Letters·I MercerC Wahlström

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Citations

Oct 2, 2009·Chaos·Manish Dev Shrimali
Jun 13, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Weiqing LiuJürgen Kurths
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Meng ZhanJinghua Xiao

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