Paper Info
Title
Ultimate bound sets of a hyperchaotic system and its application in chaos synchronization
Abstract
AbstractIn 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
Year
DOI
Venue
2015
10.1002/cplx.21510
Periodicals
Keywords
Field
DocType
globally exponentially attractive set,generalized Lyapunov function,globally exponential synchronization,linear feedback,Lorenz-Stenflo system
Lyapunov function,Ellipsoid,Synchronization,Control theory,Exponential synchronization,Mathematics,Synchronization of chaos,Exponential growth
Journal
Volume
Issue
ISSN
20
4
1076-2787
Citations 
PageRank 
References 
13
0.99
16
Authors
3
Name
Order
Citations
PageRank
Hassan Saberi Nik1688.32
Effati Sohrab227630.31
Jafar Saberi-Nadjafi3849.28