Dynamical Analysis of a Modified Lorenz System
Joint Authors
Salleh, Zabidin
Tee, Loong Soon
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-23
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Tee, Loong Soon& Salleh, Zabidin. 2012. Dynamical Analysis of a Modified Lorenz System. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-500803
Modern Language Association (MLA)
Tee, Loong Soon& Salleh, Zabidin. Dynamical Analysis of a Modified Lorenz System. Journal of Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-500803
American Medical Association (AMA)
Tee, Loong Soon& Salleh, Zabidin. Dynamical Analysis of a Modified Lorenz System. Journal of Mathematics. 2012. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-500803
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-500803