Document Type
Article
Publication Date
8-31-2016
Publication Title
Open Journal of Applied Sciences
DOI
10.4236/ojapps.2016.68056
ISSN
2165-3917
Abstract
In this study, we introduce a closed loop quotient controller into the three-dimensional Lorenz system. We then compute the equilibrium points and analyze their local stability. We use several examples to illustrate how cross-sections of the basins of attraction for the equilibrium points look for various parameter values. We then provided numerical evidence that with the controller, the controlled Lorenz system cannot exhibit chaos if the equilibrium points are locally stable.
Recommended Citation
Braselton, James P., Yan Wu.
2016.
"Stabilizing the Lorenz Flows Using a Closed Loop Quotient Controller."
Open Journal of Applied Sciences, 6 (8): 1-19.
doi: 10.4236/ojapps.2016.68056
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/451
Comments
Copyright © 2016 by authors and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY). It was retrieved from the Open Journal of Applied Sciences.