Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 174546, 14 pages
doi:10.1155/2009/174546
Research Article

Diffusive Synchronization of Hyperchaotic Lorenz Systems

Ruy Barboza

Department of Electrical Engineering, School of Engineering at São Carlos, University of São Paulo, 13566-590 São Carlos, SP, Brazil

Received 6 January 2009; Accepted 2 March 2009

Academic Editor: José Roberto Castilho Piqueira

Copyright © 2009 Ruy Barboza. 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 synchronizing properties of two diffusively coupled hyperchaotic Lorenz 4D systems are investigated by calculating the transverse Lyapunov exponents and by observing the phase space trajectories near the synchronization hyperplane. The effect of parameter mismatch is also observed. A simple electrical circuit described by the Lorenz 4D equations is proposed. Some results from laboratory experiments with two coupled circuits are presented.