IJPAM: Volume 83, No. 1 (2013)

DIFFERENCE EQUATION OF LORENZ SYSTEM

Wanqing Song$^1$, Jianru Liang$^2$
$^{1,2}$College of Electronic and Electrical Engineering
Shanghai University of Engineering Science
Shanghai, 201620, P.R. CHINA


Abstract. This paper uses difference equation to explore some of the more obvious properties of the Lorenz equation. We will investigate changes in the behavior of solutions of the Lorenz equation as the parameter r is varied. A trajectory in phase space is analyzed when iterative equation is magnified. The distance between two states i and j in the phase space is described by recurrence plots which may reveal the motion feature of chaos system trajectory with time change.

Received: October 23, 2012

AMS Subject Classification: 65P20

Key Words and Phrases: discrete Lorenz, phase space trajectories, recurrence plot

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DOI: 10.12732/ijpam.v83i1.9 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 83
Issue: 1