Journal of Applied Mathematics
Volume 2013 (2013), Article ID 764108, 5 pages
http://dx.doi.org/10.1155/2013/764108
Research Article

Stability Problems for Chua System with One Linear Control

Camelia Pop Arieşanu

“Politehnica” University of Timişoara, Department of Mathematics, 2 Victoriei Place, 300006 Timişoara, Romania

Received 16 January 2013; Revised 11 March 2013; Accepted 13 March 2013

Academic Editor: Chein-Shan Liu

Copyright © 2013 Camelia Pop Arieşanu. 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

A Hamilton-Poisson realization and some stability problems for a dynamical system arisen from Chua system are presented. The stability and dynamics of a linearized smooth version of the Chua system are analyzed using the Hamilton-Poisson formalism. This geometrical approach allows to deduce the nonlinear stabilization near different equilibria.