Table of Contents
Journal of Nonlinear Dynamics
Volume 2014, Article ID 918586, 10 pages
http://dx.doi.org/10.1155/2014/918586
Research Article

Multiswitching Synchronization of a Driven Hyperchaotic Circuit Using Active Backstepping

1Department of Physics, University of Agriculture Abeokuta, PMB 2240, Abeokuta, Nigeria
2Department of Physics, Federal College of Education (Technical) Akoka, P.O. Box 269, Yaba, Lagos 101212, Nigeria
3Department of Physics, University of Lagos, Akoka, Yaba, Lagos 101212, Nigeria
4Department of Physical Sciences, Redeemer’s University, Mowe, Ogun State, Redemption City 110115, Nigeria
5Department of Physics, Lancaster University, Lancaster LA1 4YB, UK

Received 11 October 2013; Accepted 30 December 2013; Published 18 February 2014

Academic Editor: Dibakar Ghosh

Copyright © 2014 A. Ayotunde Ajayi 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

An active backstepping technique is proposed for the realization of multiswitching synchronization of periodically forced hyperchaotic Van der Pol-Duffing oscillators. The active backstepping technique is a systematic design approach with recursive procedures that skillfully optimizes the choice of Lyapunov functions and active control technique. Using the active backstepping technique, the usual master-slave synchronization scheme is extended to study the synchronization of systems with different combinations of the slave states variables with master state variables. Our numerical results confirm the effectiveness of the proposed analytical technique.