Dynamical Analysis of a Modified Lorenz System | Zendy

Loong Soon Tee | Zendy; Zabidin Salleh | Zendy

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Dynamical Analysis of a Modified Lorenz System

Author(s) -

Loong Soon Tee,

Zabidin Salleh

Publication year - 2012

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2013/820946

Subject(s) - jacobian matrix and determinant , mathematics , lyapunov exponent , lorenz system , chaotic , lyapunov function , eigenvalues and eigenvectors , dynamical systems theory , stability (learning theory) , matrix (chemical analysis) , range (aeronautics) , mathematical analysis , attractor , nonlinear system , computer science , physics , materials science , quantum mechanics , artificial intelligence , machine learning , composite material

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

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