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- W2021832022 abstract "The unsteady (nonautonomous) analog of a hyperbolic fixed point is a hyperbolic trajectory, whose importance is underscored by its attached stable and unstable manifolds, which have relevance in fluid flow barriers, chaotic basin boundaries, and the long-term behavior of the system. We develop a method for obtaining the unsteady control velocity which forces a hyperbolic trajectory to follow a user-prescribed variation with time. Our method is applicable in any dimension, and accuracy to any order is achievable. We demonstrate and validate our method by (1) controlling the fixed point at the origin of the Lorenz system, for example, obtaining a user-defined nonautonomous attractor, and (2) the saddle points in a droplet flow, using localized control which generates global transport." @default.
- W2021832022 created "2016-06-24" @default.
- W2021832022 creator A5009219938 @default.
- W2021832022 creator A5015924313 @default.
- W2021832022 date "2014-09-03" @default.
- W2021832022 modified "2023-09-25" @default.
- W2021832022 title "Accurate control of hyperbolic trajectories in any dimension" @default.
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- W2021832022 doi "https://doi.org/10.1103/physreve.90.032903" @default.
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