Dynamical Analysis of a Modified Lorenz System

Loong Soon Tee and Zabidin Salleh

Journal of Mathematics, 2013, vol. 2013, 1-8

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:820946

DOI: 10.1155/2013/820946

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