Table of Contents
Journal of Chaos
Volume 2014, Article ID 429809, 15 pages
http://dx.doi.org/10.1155/2014/429809
Research Article

Theoretical Analysis and Adaptive Synchronization of a 4D Hyperchaotic Oscillator

1Laboratoire de Mécanique et de Modélisation des Systèmes Physiques (L2MSP), Faculty of Science, University of Dschang, P.O. Box 69 Dschang, Cameroon
2Laboratoire d’Electronique et de Traitement de Signal (LETS), Faculty of Science, University of Dschang, P.O. Box 67 Dschang, Cameroon
3Laboratoire d’Automatique et Informatique Appliquée (LAIA), IUT-FV Bandjoun, University of Dschang, P.O. Box 67 Dschang, Cameroon

Received 31 October 2013; Accepted 14 January 2014; Published 27 February 2014

Academic Editor: Qingdu Li

Copyright © 2014 T. Fonzin Fozin 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

We propose a new mathematical model of the TNC oscillator and study its impact on the dynamical properties of the oscillator subjected to an exponential nonlinearity. We establish the existence of hyperchaotic behavior in the system through theoretical analysis and by exploiting electronic circuit experiments. The obtained numerical results are found to be in good agreement with experimental observations. Moreover, the new technique on adaptive control theory is used on our model and it is rigorously proven that the adaptive synchronization can be achieved for hyperchaotic systems with uncertain parameters.