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Controlling the chaotic n-scroll Chua’s circuit with two low pass filters

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  • Zou, Yan-li
  • Zhu, Jie

Abstract

Controlling chaos in the chaotic n-scroll Chua’s circuit is studied. The proposed control method is based on two low pass filters. First, the unstable fixed points in the n-scroll Chua’s circuit are classified into two types according to the characteristics of the eigenvalues of Jacobian at the fixed points. Then the controllability of these two-types of fixed points is studied. Theoretical analysis shows that the first type of fixed points can be stabilized with two stable low pass filters, and the second type of fixed points can be stabilized with a stable low pass filter and an unstable low pass filter. With an appropriately chosen feedback gain k, Hopf bifurcation can be generated and corresponding period orbits can be obtained. Numerical simulations show that the proposed control method is robust to the variations of the system parameters.

Suggested Citation

  • Zou, Yan-li & Zhu, Jie, 2006. "Controlling the chaotic n-scroll Chua’s circuit with two low pass filters," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 400-406.
    • Handle: RePEc:eee:chsofr:v:29:y:2006:i:2:p:400-406
    DOI: 10.1016/j.chaos.2005.08.038
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    1. Zou, Yan-Li & Zhu, Jie & Chen, Guanrong & Luo, Xiao-Shu, 2005. "Synchronization of hyperchaotic oscillators via single unidirectional chaotic-coupling," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1245-1253.
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    Cited by:

    1. Fu, Shihui & Liu, Yuan & Ma, Huizhen & Du, Ying, 2020. "Control chaos to different stable states for a piecewise linear circuit system by a simple linear control," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).

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