Title

Post-Double Hopf Bifurcation Dynamics And Adaptive Synchronization Of A Hyperchaotic System

Keywords

Adaptive synchronization; Double-Hopf bifurcation; Hyperchaotic system; Normal form

Abstract

In this paper a four-dimensional hyperchaotic system with only one equilibrium is considered and its double Hopf bifurcations are investigated. The general post-bifurcation and stability analysis are carried out using the normal form of the system obtained via the method of multiple scales. The dynamics of the orbits predicted through the normal form comprises possible regimes of periodic solutions, two-period tori, and three-period tori in parameter space. Moreover, we show how the hyperchaotic synchronization of this system can be realized via an adaptive control scheme. Numerical simulations are included to show the effectiveness of the designed control. © 2012 Springer Science+Business Media B.V.

Publication Date

12-1-2012

Publication Title

Acta Applicandae Mathematicae

Volume

122

Issue

1

Number of Pages

269-282

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s10440-012-9742-y

Socpus ID

84869412694 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84869412694

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