Table of Contents
Journal of Chaos
Volume 2014, Article ID 282407, 9 pages
http://dx.doi.org/10.1155/2014/282407
Research Article

Reduced Order Projective and Hybrid Projective Combination-Combination Synchronization of Four Chaotic Josephson Junctions

1Department of Physics, University of Agriculture, Abeokuta, Nigeria
2Department of Physics, University of Lagos, Lagos, Nigeria
3Department of Mathematics, University of Agriculture, Abeokuta, Nigeria

Received 10 October 2013; Revised 23 December 2013; Accepted 1 January 2014; Published 13 February 2014

Academic Editor: Min W. Lee

Copyright © 2014 K. S. Ojo 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

This paper investigates the reduced order projective and hybrid projective combination-combination synchronization of four chaotic Josephson junctions consisting of two third order Josephson junctions as the drives and two second order chaotic Josephson junctions as the response systems via active backstepping technique. The investigation confirms the achievement of reduced order projective and hybrid projective combination-combination synchronization among four chaotic Josephson junctions via active backstepping technique. Numerical simulations are validated to show the effectiveness of the synchronization scheme. Reduced order combination-combination synchronization scheme has more significant applications to neural encoding and decoding of information in biological systems and to the security of information transmission in communication systems than the usual one drive system and one response system synchronization scheme.