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Alternative implementation of the chaotic Chen–Lee system

Author

Listed:
  • Sheu, Long-Jye
  • Tam, Lap-Mou
  • Chen, Hsien-Keng
  • Lao, Seng-Kin

Abstract

The chaotic Chen–Lee system was developed with a formalism based on the Euler equations for the motion of a rigid body. It was proved that this system is the governing set of equations for gyro motion with feedback control. Recently, studies were conducted to explore the dynamic behavior of this system, including fractional order behavior, the generation of hyperchaos and perturbation analysis, control and anti-control of chaos, synchronization, etc. In this study, we further explore (1) the stability of the equilibrium points and (2) the implementation of an electronic circuit using the Chen–Lee system. It is shown that not only is this system related to gyro motion but can also be applied to electronic circuits for encryption purposes.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1923-1929
    DOI: 10.1016/j.chaos.2008.07.053
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    References listed on IDEAS

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    1. Chen, Hsien-Keng, 2005. "Synchronization of two different chaotic systems: a new system and each of the dynamical systems Lorenz, Chen and Lü," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1049-1056.
    2. Sheu, Long-Jye & Chen, Hsien-Keng & Chen, Juhn-Horng & Tam, Lap-Mou, 2007. "Chaos in a new system with fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1203-1212.
    3. Park, Ju H., 2006. "Chaos synchronization between two different chaotic dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 549-554.
    4. 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.
    5. Tam, Lap Mou & Chen, Juhn Horng & Chen, Hsien Keng & Si Tou, Wai Meng, 2008. "Generation of hyperchaos from the Chen–Lee system via sinusoidal perturbation," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 826-839.
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