Stabilizing chaotic vortex trajectories: an example of high-dimensional control
chao-dyn
2019-08-17 v1 混沌动力学
摘要
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.
引用
@article{arxiv.chao-dyn/9701002,
title = {Stabilizing chaotic vortex trajectories: an example of high-dimensional control},
author = {A. Pentek and J. B. Kadtke and Z. Toroczkai},
journal= {arXiv preprint arXiv:chao-dyn/9701002},
year = {2019}
}
备注
15 LaTex pages, 4 Postscript figures added