Study on the critical chaotic system with fractional order and circuit experiment

被引：60

作者：

Wang Fa-Qiang ^{[1
]}

Liu Chong-Xin ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Inst Elect Engn, Xian 710049, Peoples R China

来源：

ACTA PHYSICA SINICA | 2006年 / 55卷 / 08期

关键词：

fractional order; critical chaotic system; circuit;

D O I：

10.7498/aps.55.3922

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the fractional order the critical chaotic system and design an electronic circuit to realization the fractional order. The chaotic dynamic behavior of the fractional. order of the critical system is verified by computer simulation and circuit experiment.

引用

页码：3922 / 3927

页数：6

共 17 条

[1] Chaos in fractional-order autonomous nonlinear systems [J].

Ahmad, WM ;

Sprott, JC .

CHAOS SOLITONS & FRACTALS, 2003, 16 (02) :339-351

[2]

[Anonymous], 1983, FRACTAL GEOMETRY NAT

[3] 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

[4] Fractional Brownian motions and enhanced diffusion in a unidirectional wave-like turbulence [J].

Fannjiang, A ;

Komorowski, T .

JOURNAL OF STATISTICAL PHYSICS, 2000, 100 (5-6) :1071-1095

[5]

FRACTIONAL MF, 1996, CHAOS SOLITON FRACT, V7, P1461

[6]

Gao X, 2005, CHINESE PHYS, V14, P908, DOI 10.1088/1009-1963/14/5/009

[7] Chaos in the fractional order periodically forced complex Duffing's oscillators [J].

Gao, X ;

Yu, JB .

CHAOS SOLITONS & FRACTALS, 2005, 24 (04) :1097-1104

[8]

GRIGORENKO I, PHYS REV LETT, V91, P1

[9] CHAOS IN A FRACTIONAL ORDER CHUAS SYSTEM [J].

HARTLEY, TT ;

LORENZO, CF ;

QAMMER, HK .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1995, 42 (08) :485-490

[10] Chaos in the fractional order Chen system and its control [J].

Li, CG ;

Chen, GR .

CHAOS SOLITONS & FRACTALS, 2004, 22 (03) :549-554

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