Open AccessControlling chaos in low and high dimensional systems with periodic parametric perturbations
Author(s) -
K. A. Mirus,
J. C. Sprott
Publication year - 1998
Language(s) - English
Resource type - Reports
DOI - 10.2172/663249
Subject(s) - perturbation (astronomy) , periodic orbits , chaotic systems , control of chaos , chaotic , parametric statistics , chaos (operating system) , physics , limit (mathematics) , statistical physics , control theory (sociology) , mathematics , mathematical analysis , classical mechanics , synchronization of chaos , nonlinear system , computer science , control (management) , quantum mechanics , computer security , statistics , artificial intelligence
The effect of applying a periodic perturbation to an accessible parameter of various chaotic systems is examined. Numerical results indicate that perturbation frequencies near the natural frequencies of the unstable periodic orbits of the chaotic systems can result in limit cycles for relatively small perturbations. Such perturbations can also control or significantly reduce the dimension of high-dimensional systems. Initial application to the control of fluctuations in a prototypical magnetic fusion plasma device will be reviewed