Document Type
Article
Publication Date
3-16-2016
Publication Title
Open Journal of Applied Sciences
DOI
10.4236/ojapps.2016.63015
ISSN
2165-3917
Abstract
In this case-study, we examine the effects of linear control on continuous dynamical systems that exhibit chaotic behavior using the symbolic computer algebra system Mathematica. Stabilizing (or controlling) higher-dimensional chaotic dynamical systems is generally a difficult problem, Musielak and Musielak, [1]. We numerically illustrate that sometimes elementary approaches can yield the desired numerical results with two different continuous higher order dynamical systems that exhibit chaotic behavior, the Lorenz equations and the Rössler attractor.
Recommended Citation
Braselton, James P., Yan Wu.
2016.
"Applying Linear Controls to Chaotic Continuous Dynamical Systems."
Open Journal of Applied Sciences, 6: 141-152.
doi: 10.4236/ojapps.2016.63015
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/450
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.