Complexity, Volume (20), No (4), Year (2014-3) , Pages (30-44)

Title : ( Ultimate bound sets of a hyperchaotic system and its application in chaos synchronization )

Authors: Hassan Saberi Nik , Sohrab Effati , Jafar Saberi Najafi ,

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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

Keywords

, globally exponentially attractive set, generalized Lyapunov function, globally exponential synchronization, Lorenz–Stenflo
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@article{paperid:1053940,
author = {Saberi Nik, Hassan and Effati, Sohrab and Saberi Najafi, Jafar},
title = {Ultimate bound sets of a hyperchaotic system and its application in chaos synchronization},
journal = {Complexity},
year = {2014},
volume = {20},
number = {4},
month = {March},
issn = {1076-2787},
pages = {30--44},
numpages = {14},
keywords = {globally exponentially attractive set; generalized Lyapunov function; globally exponential synchronization; Lorenz–Stenflo system},
}

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%0 Journal Article
%T Ultimate bound sets of a hyperchaotic system and its application in chaos synchronization
%A Saberi Nik, Hassan
%A Effati, Sohrab
%A Saberi Najafi, Jafar
%J Complexity
%@ 1076-2787
%D 2014

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