Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 842325, 13 pages
http://dx.doi.org/10.1155/2011/842325
Research Article

Hamilton-Poisson Realizations for the Lü System

Camelia Pop,1 Camelia Petrişor,1 and Dumitru Bălă2

1Department of Mathematics, “Politehnica” University of Timişoara, Piaţa Victoriei nr. 2, 300006 Timişoara, Romania
2Faculty of Economics and Business Administration, University of Craiova, Str. Traian 277, Drobeta Turnu Severin, Romania

Received 6 December 2010; Accepted 5 February 2011

Academic Editor: Yuri Vladimirovich Mikhlin

Copyright © 2011 Camelia Pop et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The Hamilton-Poisson geometry has proved to be an interesting approach for a lot of dynamics arising from different areas like biology (Gümral and Nutku, 1993), economics (Dănăiasă et al., 2008), or engineering (Ginoux and Rossetto, 2006). The Lü system was first proposed by Lü and Chen (2002) as a model of a nonlinear electrical circuit, and it was studied from various points of view. We intend to study it from mechanical geometry point of view and to point out some of its geometrical and dynamical properties.