Dynamical Analysis of a Modified Lorenz SystemReport as inadecuate




Dynamical Analysis of a Modified Lorenz System - Download this document for free, or read online. Document in PDF available to download.

Journal of MathematicsVolume 2013 2013, Article ID 820946, 8 pages

Research ArticleDepartment of Mathematics, Faculty of Science and Technology, University Malaysia Terengganu, Terengganu, 21030 Kuala Terengganu, Malaysia

Received 17 August 2012; Accepted 25 September 2012

Academic Editor: Stefan J. Linz

Copyright © 2013 Loong Soon Tee and Zabidin Salleh. 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

This paper presents another new modified Lorenz system which is chaotic in a certain range of parameters. Besides that, this paper also presents explanations to solve the new modified Lorenz system. Furthermore, some of the dynamical properties of the system are shown and stated. Basically, this paper shows the finding that led to the discovery of fixed points for the system, dynamical analysis using complementary-cluster energy-barrier criterion CCEBC, finding the Jacobian matrix, finding eigenvalues for stability, finding the Lyapunov functions, and finding the Lyapunov exponents to investigate some of the dynamical behaviours of the system. Pictures and diagrams will be shown for the chaotic systems using the aide of MAPLE in 2D and 3D views. Nevertheless, this paper is to introduce the new modified Lorenz system.





Author: Loong Soon Tee and Zabidin Salleh

Source: https://www.hindawi.com/



DOWNLOAD PDF




Related documents