Stabilizing chaotic vortex trajectories: an example of high-dimensional control
arXiv:chao-dyn/9701002 · doi:10.1016/S0375-9601(96)00792-X
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.
15 LaTex pages, 4 Postscript figures added