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

页码：2167 / 2178

页数：12

共 43 条

[21]

[22] Synchronization of a class of fractional-order chaotic systems via a scalar transmitted signal [J].

Lu, JG .

CHAOS SOLITONS & FRACTALS, 2006, 27 (02) :519-525

[23] Experimental verification of multidirectional multiscroll chaotic attractors [J].

Lü, JH ;

Yu, S ;

Leung, H ;

Chen, G .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2006, 53 (01) :149-165

[24] A new chaotic system and beyond:: The generalized Lorenz-like system [J].

Lü, JH ;

Chen, GR ;

Cheng, DZ .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (05) :1507-1537

[25] Bridge the gap between the Lorenz system and the Chen system [J].

Lü, JH ;

Chen, GR ;

Cheng, DZ ;

Celikovsky, S .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (12) :2917-2926

[26] A new chaotic attractor coined [J].

Lü, JH ;

Chen, GR .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (03) :659-661

[27] Generating multiscroll chaotic attractors:: Theories, methods and applications [J].

Lu, Jinhu ;

Chen, Guanrong .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (04) :775-858

[28]

Lu Junjie, 2007, Journal of Xi'an Jiaotong University, V41, P497

[29]

Matignon D., 1996, IMACS-SMC Proceeding, July, Lille, France, P963

[30] Observer based synchronization of chaotic systems [J].

Morgul, O ;

Solak, E .

PHYSICAL REVIEW E, 1996, 54 (05) :4803-4811

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