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.

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