Chaos in a fractional order modified Duffing system
Chaos in a fractional order modified Duffing system
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DOI：
10.1016/j.chaos.2005.11.059
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发表时间：
2007-10-01
影响因子：
7.8
通讯作者：
Ou, Chan-Yi
中科院分区：
文献类型：
--
作者：
Ge, Zheng-Ming;Ou, Chan-Yi
本文利用相图、Poincare映射和分岔图对分数阶修正Duffing系统的混沌行为进行了数值研究。分数积分器块的线性传递函数近似基于频域自变量针对（0，1]中的分数阶集合来计算。发现在这样的系统中存在混沌的总系统阶数为1.8、1.9、2.0和2.1。(c)2005爱思唯尔有限公司保留所有权利。
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.