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Journal Article

Stalling chaos control accelerates convergence

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Bick,  Christian
Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Kolodziejski,  Christioph
Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

/persons/resource/persons173689

Timme,  Marc
Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society;

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Citation

Bick, C., Kolodziejski, C., & Timme, M. (2013). Stalling chaos control accelerates convergence. New Journal of Physics, 15: 063038. doi:10.1088/1367-2630/15/6/063038.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-0FCD-A
Abstract
Since chaos control has found its way into many applications, the development of fast, easy-to-implement and universally applicable chaos control methods is of crucial importance. Predictive feedback control has been widely applied but suffers from a speed limit imposed by highly unstable periodic orbits. We show that this limit can be overcome by stalling the control, thereby taking advantage of the stable directions of the uncontrolled chaotic map. This analytical finding is confirmed by numerical simulations, giving a chaos-control method that is capable of successfully stabilizing periodic orbits of high period.