Parametric study of the fractional-order Chen–Lee system

Lap Mou Tam and Wai Meng Si Tou

Chaos, Solitons & Fractals, 2008, vol. 37, issue 3, 817-826

Abstract: 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.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:37:y:2008:i:3:p:817-826

DOI: 10.1016/j.chaos.2006.09.067

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