Table of Contents
Journal of Chaos
Volume 2013, Article ID 723581, 8 pages
http://dx.doi.org/10.1155/2013/723581
Research Article

Synchronization and Stabilization of Chaotic Dynamics in a Quasi-1D Bose-Einstein Condensate

1Department of Physics, Lagos State University, Ojo, Nigeria
2Department of Physical Sciences, Redeemers University, Km 46, Lagos-Ibadan Expressway, Redemption City, Mowe, Nigeria
3Department of Physics, Lancaster University, Lancaster LA1 4YB, UK

Received 10 August 2013; Revised 18 November 2013; Accepted 18 November 2013

Academic Editor: René Yamapi

Copyright © 2013 B. A. Idowu and U. E. Vincent. 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 nonlinear control is proposed for the exponential stabilization and synchronization of chaotic behaviour in a model of Bose-Einstein condensate (BEC). The active control technique is designed based on Lyapunov stability theory and Routh-Hurwitz criteria. The control design approach in both cases guarantees the stability of the controlled states. Whereas the synchronization of two identical BEC in their chaotic states can be realized using the scheme; a suitable controller is also capable of driving the otherwise chaotic oscillation to a stable state which could be expected in practice. The effectiveness of this technique is theoretically and numerically demonstrated.