Article
Applying Linear Controls to Chaotic Continuous Dynamical Systems
Open Journal of Applied Sciences
Document Type
Article
Publication Date
3-16-2016
DOI
10.4236/ojapps.2016.63015
Disciplines
- Education and
- Mathematics
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.
Citation Information
James P. Braselton and Yan Wu. "Applying Linear Controls to Chaotic Continuous Dynamical Systems" Open Journal of Applied Sciences Vol. 6 (2016) p. 141 - 152 ISSN: 2165-3917 Available at: http://works.bepress.com/yan_wu/30/
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.