Parametric study of the fractional-order Chen–Lee system
Parametric study of the fractional-order Chen–Lee system
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DOI：
10.1016/j.chaos.2006.09.067
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发表时间：
2008-08
影响因子：
7.8
通讯作者：
L. Tam;Wai Meng Si Tou
中科院分区：
文献类型：
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作者：
L. Tam;Wai Meng Si Tou
近年来，分数阶系统的动力学问题引起了人们极大的关注。本文数值研究了参数变化对分数阶Chen-Lee系统动力学的影响。所使用的参数范围相对较宽。系统使用的顺序固定为2.7(Q1=Q2=Q3=0.9)。系统呈现出不动点、周期运动(包括周期3运动)、混沌运动、暂态混沌等丰富的动力学行为。通过确认Lyapunov指数为正，验证了所识别的混沌运动。还发现了分数阶Chen-Lee系统中混沌的倍周期路径。
The dynamics of fractional-order systems have attracted a great deal of attention in recent years. In this paper, the effects of parameter changes on the dynamics of the fractional-order Chen–Lee system were studied numerically. The parameter ranges used were relatively broad. The order used for the system was fixed at 2.7 (q1=q2=q3=0.9). The system displays rich dynamic behaviors, such as a fixed point, periodic motion (including period-3 motion), chaotic motion, and transient chaos. The chaotic motion identified was validated by the confirmation of a positive Lyapunov exponent. Period-doubling routes to chaos in the fractional-order Chen–Lee system were also found.