Several Chaotic Analysis of Lorenz System

Md. Shakhawat Alam, Payer Ahmed

Abstract


This paper aim to describe a number of simplifications that can be made to the Lorenz system that preserve its dynamics as well as a number of chaotic systems. The butterfly effect was proven. The solution of differential equation and Lorenz Attractor were investigated. This study compares the dynamical behaviors of the Lorenz system with complex variables to that of the standard Lorenz system involving real variables. Different methodologies, including the Lyapunov exponents spectrum, the bifurcation diagram, the first return map to the Poincare section, topological entropy, periodic and quasi- periodic phase portraits, and chaotic behavior of the resulting system were discussed in Matlab.

Full Text:

PDF



European Scientific Journal (ESJ)

 

ISSN: 1857 - 7881 (Print)
ISSN: 1857 - 7431 (Online)

 

Contact: contact@eujournal.org

To make sure that you can receive messages from us, please add the 'eujournal.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.




Publisher: European Scientific Institute, ESI.
ESI cooperates with Universities and Academic Centres on 5 continents.