IJPAM: Volume 83, No. 1 (2013)
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