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Stabilizing chaotic vortex trajectories: an example of high-dimensional control

A. Pentek·J. B. Kadtke·Z. Toroczkai
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Abstract

A chaos control algorithm is developed to actively stabilize unstable periodic orbits of higher-dimensional systems. The method assumes knowledge of the model equations and a small number of experimentally accessible parameters. General conditions for controllability are discussed. The algorithm is applied to the Hamiltonian problem of point vortices inside a circular cylinder with applications to an experimental plasma system.

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A. Pentek, J. B. Kadtke, Z. Toroczkai. 1996-12-27. Stabilizing chaotic vortex trajectories: an example of high-dimensional control. https://doi.org/10.1016/s0375-9601(96)00792-x

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