Chaos in a fractional order modified Duffing system

被引：132
作者：
Ge, Zheng-Ming [1 ]
Ou, Chan-Yi [1 ]
机构：
[1] Natl Chiao Tung Univ, Dept Mech Engn, Hsinchu 300, Taiwan
来源：
CHAOS SOLITONS & FRACTALS | 2007年 / 34卷 / 02期
关键词：
D O I：
10.1016/j.chaos.2005.11.059
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
in this paper, the chaotic behaviors in a fractional order modified Duffing system are studied numerically by phase portraits, Poincare maps and bifurcation diagrams. Linear transfer function approximations of the fractional integrator block are calculated for a set of fractional orders in (0, 1], based on frequency domain arguments. The total system orders found for chaos to exist in such systems are 1.8, 1.9, 2.0 and 2.1. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：262 / 291
页数：30
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