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Zbl 0964.37501
Ott, Edward; Grebogi, Celso; Yorke, James A.
Controlling chaos. (English)
[J] Phys. Rev. Lett. 64, No.11, 1196-1199 (1990); Erratum, No.23, 2837 (1990). ISSN 0031-9007; ISSN 1079-7114/e

Summary: The authors show that one can convert a chaotic attractor to any one of a large number of possible attracting time-periodic motions by making only small time-dependent perturbations of an available system parameter. The method utilizes delay coordinate embedding, and so is applicable to experimental situations in which apriori analytical knowledge of the system dynamics is not available. Important issues include the length of the chaotic transience preceding the periodic motion, and the effect of noise. A numerical example is given.

MSC 2000:: *37D45 Strange attractors, chaotic dynamics
34C25 Periodic solutions of ODE
37C70 Attractors and repellers, topological structure

Keywords: chaotic attractor

Cited in: Zbl 1130.92054 Zbl 1141.93030 Zbl 1203.39005 Zbl 1145.93333 Zbl 1106.70329 Zbl 1075.91605 Zbl 1044.37030 Zbl 1066.93022 Zbl 0981.70021 Zbl 0964.37024 Zbl 0964.93071 Zbl 0958.93044 Zbl 1016.37015

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