Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2013, Article ID 537207, 7 pages
http://dx.doi.org/10.1155/2013/537207
Research Article

A New Method for Parameter Sensitivity Analysis of Lorenz Equations

Department of Mathematics, Bilecik Seyh Edebali University, 11210 Bilecik, Turkey

Received 24 June 2013; Accepted 18 August 2013

Academic Editor: C. M. Khalique

Copyright © 2013 Mehmet Ali Akinlar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A new method for parameter sensitivity analysis of Lorenz equations is presented. The sensitivity equations are derived based on the staggered methods. Experimental results indicate that it is possible to determine effects of parameters on model variables so that we can eliminate the less effective ones. Robustness can also be verified in some confidence intervals by simply looking at the corresponding phase portraits. This enables us to control the system. Although the stability properties of the Lorenz equations are studied extensively, to the best knowledge of the authors, the PSA of Lorenz equations has not been considered which is the main goal of this paper.