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

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

1996-12-27

arxiv.org/abs/chao-dyn/9701002v1

Physics Letters A, 224 (1996) 85

Nonlinear Sciences

Chaotic Dynamics

15 LaTex pages, 4 Postscript figures added

Scientific paper

10.1016/S0375-9601(96)00792-X

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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