Open AccessControlling chaos in a high dimensional system with periodic parametric perturbations
Author(s) -
K. A. Mirus,
Julien Clinton Sprott
Publication year - 1998
Language(s) - English
Resource type - Reports
DOI - 10.2172/291145
Subject(s) - perturbation (astronomy) , periodic orbits , chaotic , lorenz system , control of chaos , chaotic systems , parametric statistics , chaos (operating system) , physics , limit (mathematics) , statistical physics , mathematics , mathematical analysis , synchronization of chaos , control theory (sociology) , attractor , computer science , quantum mechanics , statistics , control (management) , computer security , artificial intelligence
The effect of applying a periodic perturbation to an accessible parameter of a high-dimensional (coupled-Lorenz) chaotic system is examined. Numerical results indicate that perturbation frequencies near the natural frequencies of the unstable periodic orbits of the chaotic system can result in limit cycles or significantly reduced dimension for relatively small perturbations