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Parametric study of the fractional-order Chen–Lee system

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  • Tam, Lap Mou
  • Si Tou, Wai Meng

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.

Suggested Citation

  • Tam, Lap Mou & Si Tou, Wai Meng, 2008. "Parametric study of the fractional-order Chen–Lee system," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 817-826.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:3:p:817-826
    DOI: 10.1016/j.chaos.2006.09.067
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    1. Chen, Juhn-Horng & Chen, Hsien-Keng & Lin, Yu-Kai, 2009. "Synchronization and anti-synchronization coexist in Chen–Lee chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 707-716.
    2. Sheu, Long-Jye & Tam, Lap-Mou & Chen, Hsien-Keng & Lao, Seng-Kin, 2009. "Alternative implementation of the chaotic Chen–Lee system," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1923-1929.

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