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Auerbach, Ditza; Grebogi, Celso; Ott, Edward; Yorke, James A.
Controlling chaos in high-dimensional systems. (English) Zbl 0964.37502
Phys. Rev. Lett. 69, No. 24, 3479-3482 (1992).
Summary: Recently formulated techniques for controlling chaotic dynamics face a fundamental problem when the system is high dimensional, and this problem is present even when the chaotic attractor is low dimensional. Here the authors introduce a procedure for controlling a chaotic time signal of an arbitrarily high dimensional system, without assuming any knowledge of the underlying dynamical equations. Then, the authors formulate a feedback control that requires modeling the local dynamics of only a single or a few of the possibly infinite number of phase-space variables.

Cited in 32 Documents
MSC:
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
37C70 Attractors and repellers of smooth dynamical systems and their topological structure
37N99 Applications of dynamical systems
Keywords:
chaotic attractor; chaotic time signal; feedbck control
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\textit{D. Auerbach} et al., Phys. Rev. Lett. 69, No. 24, 3479--3482 (1992; Zbl 0964.37502)
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References:
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