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A new hyperchaotic system and its circuit implementation

Author

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  • Qi, Guoyuan
  • van Wyk, Michaël Antonie
  • van Wyk, Barend Jacobus
  • Chen, Guanrong

Abstract

A new hyperchaotic system which has two large positive Lyapunov exponents is presented and physically implemented. Spectral analysis shows that the system in the hyperchaotic mode has an extremely broad frequency bandwidth of high magnitudes, verifying its unusual random nature and indicating its great potential for some relevant engineering applications such as secure communications.

Suggested Citation

  • Qi, Guoyuan & van Wyk, Michaël Antonie & van Wyk, Barend Jacobus & Chen, Guanrong, 2009. "A new hyperchaotic system and its circuit implementation," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2544-2549.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:5:p:2544-2549
    DOI: 10.1016/j.chaos.2007.10.053
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    References listed on IDEAS

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    1. Qi, Guoyuan & Chen, Guanrong & Du, Shengzhi & Chen, Zengqiang & Yuan, Zhuzhi, 2005. "Analysis of a new chaotic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 352(2), pages 295-308.
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    Cited by:

    1. Lorı´a, Antonio, 2011. "Cascades-based synchronization of hyperchaotic systems: Application to Chen systems," Chaos, Solitons & Fractals, Elsevier, vol. 44(9), pages 702-709.
    2. Öztürk, İsmail & Kılıç, Recai, 2018. "Analysis and experimental verification of a new chaotic system with hyperbolic/non-hyperbolic equilibria," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 183-191.
    3. Du, Shengzhi & van Wyk, Barend J. & Qi, Guoyuan & Tu, Chunling, 2009. "Chaotic system synchronization with an unknown master model using a hybrid HOD active control approach," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1900-1913.
    4. Wu, Jiening & Wang, Lidan & Chen, Guanrong & Duan, Shukai, 2016. "A memristive chaotic system with heart-shaped attractors and its implementation," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 20-29.

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