Musielak, Z.E. and Musielak, D.E. (2009) High-Dimensional Chaos in Dissipative and Driven Dynamical Systems. International Journal of Bifurcation and Chaos, 19, 2823-2869.

has been cited by the following article:

• TITLE: Applying Linear Controls to Chaotic Continuous Dynamical Systems

  AUTHORS: James Braselton, Yan Wu

  KEYWORDS: Chaotic Dynamical System, Lorenz Equations, Rössler Attractor, Chaos, Hyperchaos, Control, Stability, Routh-Hurwitz Theorem, Characteristic Polynomial

  JOURNAL NAME: Open Journal of Applied Sciences, Vol.6 No.3, March 16, 2016

  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.