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Article
Applying Linear Controls to Chaotic Continuous Dynamical Systems
Open Journal of Applied Sciences
  • James P. Braselton, Georgia Southern University
  • Yan Wu, Georgia Southern University
Document Type
Article
Publication Date
3-16-2016
DOI
10.4236/ojapps.2016.63015
Disciplines
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/james_braselton/36/