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Transport control in deterministic ratchet system

Woo-Sik Son·Jung-Wan Ryu·Dong-Uk Hwang·Soo-Young Lee·Young-Jai Park·Chil-Min Kim
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Abstract

We study the control of transport properties in a deterministic inertia ratchet system via the extended delay feedback method. A chaotic current of a deterministic inertia ratchet system is controlled to a regular current by stabilizing unstable periodic orbits embedded in a chaotic attractor of the unperturbed system. By selecting an unstable periodic orbit, which has a desired transport property, and stabilizing it via the extended delay feedback method, we can control transport properties of the deterministic inertia ratchet system. Also, we show that the extended delay feedback method can be utilized for separation of particles in the deterministic inertia ratchet system as a particle's initial condition varies.

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Woo-Sik Son, Jung-Wan Ryu, Dong-Uk Hwang, Soo-Young Lee, Young-Jai Park, Chil-Min Kim. 2006-12-17. Transport control in deterministic ratchet system. https://arxiv.org/abs/nlin/0612039

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