GENERALIZED SYNCHRONIZATION OF FRACTIONAL ORDER HYPERCHAOTIC LORENZ SYSTEM

被引：12
作者：
Wang, Tianshu [1 ]
Wang, Xingyuan [1 ]
机构：
[1] Dalian Univ Technol, Sch Elect & Informat Engn, Dalian 116024, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2009年 / 23卷 / 17期
基金：
中国国家自然科学基金;
关键词：
Fractional order hyperchaotic Lorenz system; generalized synchronization; state-observer; CONTINUOUS-TIME SYSTEMS; CHAOTIC SYSTEMS; ADAPTIVE-CONTROL; FEEDBACK-CONTROL; EQUATIONS;
D O I：
10.1142/S021798490902031X
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this paper, a type of new fractional order hyperchaotic Lorenz system is proposed. Based on the fractional calculus predictor-corrector algorithm, the fractional order hyperchaotic Lorenz system is investigated numerically, and the simulation results show that the lowest orders for hyperchaos in hyperchaotic Lorenz system is 3.884. According to the stability theory of fractional order system, an improved state-observer is designed, and the response system of generalized synchronization is obtained analytically, whose feasibility is proved theoretically. The synchronization method is adopted to realize the generalized synchronization of 3.884-order hyperchaotic Lorenz system, and the numerical simulation results verify the effectiveness.
引用
收藏
页码：2167 / 2178
页数：12
相关论文
共 43 条
[1]   Stabilization of generalized fractional order chaotic systems using state feedback control [J].
Ahmad, WM ;
El-Khazali, R ;
Al-Assaf, Y .
CHAOS SOLITONS & FRACTALS, 2004, 22 (01) :141-150
[2]   On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rossler, Chua and Chen systems [J].
Ahmed, E. ;
El-Sayed, A. M. A. ;
El-Saka, Hala A. A. .
PHYSICS LETTERS A, 2006, 358 (01) :1-4
[3]   FRACTIONAL ORDER STATE-EQUATIONS FOR THE CONTROL OF VISCOELASTICALLY DAMPED STRUCTURES [J].
BAGLEY, RL ;
CALICO, RA .
JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1991, 14 (02) :304-311
[4]   On a generalized Lorenz canonical form of chaotic systems [J].
Celikovsky, S ;
Chen, GR .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (08) :1789-1812
[5]   FRACTAL SYSTEM AS REPRESENTED BY SINGULARITY FUNCTION [J].
CHAREF, A ;
SUN, HH ;
TSAO, YY ;
ONARAL, B .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (09) :1465-1470
[6]  
Chen G., 1993, Journal of Circuits, Systems and Computers, V3, P139, DOI 10.1142/S0218126693000113
[7]  
Chen G., 1992, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, V2, P407, DOI 10.1142/S0218127492000392
[8]   On some controllability conditions for chaotic dynamics control [J].
Chen, GR .
CHAOS SOLITONS & FRACTALS, 1997, 8 (09) :1461-1470
[9]   Yet another chaotic attractor [J].
Chen, GR ;
Ueta, T .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466
[10]  
Chen GR, 1998, From chaos to order: methodologies, perspectives and applications
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