Theoretical Analysis and Adaptive Synchronization of a 4D Hyperchaotic Oscillator. (27th February 2014)

• Record Type: Journal Article
• Authors: Fonzin Fozin, T.; Kengne, J.; Pelap, F. B.
• Other Names: Li Qingdu Academic Editor.
• Is Part Of: Journal of chaos. Volume 2014(2014)
• Publication Date: 2014-02-27
• Subjects: Quantum chaos -- Periodicals; Chaotic behavior in systems -- Periodicals; Chaotic behavior in systems; Quantum chaos; Electronic journals; Periodicals; 515.39
• DOI: 10.1155/2014/429809
• Languages: English
• ISSNs: 2356-7228

Abstract

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.