Chaos in Chen's system with a fractional order

被引：528

作者：

Li, CP ^{[1
]}

Peng, GJ ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2004年 / 22卷 / 02期

关键词：

D O I：

10.1016/j.chaos.2004.02.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by utilizing the fractional calculus techniques, we found that chaos does exist in Chen's system with a fractional order, and some phase diagrams are constructed. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：443 / 450

页数：8

共 15 条

[1] LINEAR MODELS OF DISSIPATION WHOSE Q IS ALMOST FREQUENCY INDEPENDENT-2 [J].

CAPUTO, M .

GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1967, 13 (05) :529-&

[2] 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

[3] Yet another chaotic attractor [J].

Chen, GR ;

Ueta, T .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (07) :1465-1466

[4] Analysis of fractional differential equations [J].

Diethelm, K ;

Ford, NJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 265 (02) :229-248

[5] A predictor-corrector approach for the numerical solution of fractional differential equations [J].

Diethelm, K ;

Ford, NJ ;

Freed, AD .

NONLINEAR DYNAMICS, 2002, 29 (1-4) :3-22

[6]

Diethelm K., 1997, ELECTRON T NUMER ANA, V5, P1

[7]

Diethelm K., 1999, Forschung und wissenschaftliches Rechnen, V1998, P57

[8] 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

[9]

Hilfer R., 2010, APPL FRACTIONAL CALC, P1, DOI DOI 10.1142/9789812817747_0001

[10]

Podlubny I., 1999, FRACTIONAL DIFFERENT

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