Ultimate bound sets of a hyperchaotic system and its application in chaos synchronization. Issue 4 (4th March 2014)

• Record Type: Journal Article
• Authors: Nik, Hassan Saberi; Effati, Sohrab; Saberi‐Nadjafi, JAFAR
• Is Part Of: Complexity. Volume 20:Issue 4(2015:Mar./Apr.)
• Page Start: 30
• Page End: 44
• Publication Date: 2014-03-04
• Subjects: globally exponentially attractive set -- generalized Lyapunov function -- globally exponential synchronization -- linear feedback -- Lorenz–Stenflo system; Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1002/cplx.21510
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : In this article, we investigate globally exponentially attractive sets and chaos synchronization for a hyperchaotic system, namely, Lorenz–Stenflo system. For this system, two ellipsoidal globally exponentially attractive sets are derived based on generalized Lyapunov function theory and the extremum principle of function. Furthermore, we propose linear feedback control with a one, two, three, and four inputs to realize globally exponential synchronization of two four‐dimesional hyperchaotic systems using inequality techniques. Numerical simulations are presented to show the effectiveness of the proposed synchronization scheme. © 2014 Wiley Periodicals, Inc. Complexity 20: 30–44, 2015