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On a new asymmetric chaotic system

Author

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  • Qi, Guoyuan
  • Chen, Guanrong
  • Zhang, Yuhui

Abstract

A new chaotic system is reported, which has asymmetry and non-similarity associated with its linearizing characteristics. Within a large range of parameters, the system has a very large positive Lyapunov exponent (LE) and an extremely small negative LE. Correspondingly, system orbits strongly expand in one direction but rapidly shrink in another direction. The expanding, shrinking, asymmetry and non-similarity of the system orbits increase its degrees of disorder and randomness. Bifurcation analysis further shows that the system has very rich bifurcations in different directions and extremely complicated dynamics. An electronic circuit of the new system has been built, which physically demonstrates the chaotic attractor in existence. Spectral analysis shows that the system in the chaotic mode has extremely broad-band frequencies, verifying its very strong randomness and indicating its good potential for technological applications.

Suggested Citation

  • Qi, Guoyuan & Chen, Guanrong & Zhang, Yuhui, 2008. "On a new asymmetric chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 409-423.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:2:p:409-423
    DOI: 10.1016/j.chaos.2006.09.012
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    References listed on IDEAS

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    1. Li, Shujun & Álvarez, Gonzalo & Chen, Guanrong, 2005. "Breaking a chaos-based secure communication scheme designed by an improved modulation method," Chaos, Solitons & Fractals, Elsevier, vol. 25(1), pages 109-120.
    2. Čelikovský, Sergej & Chen, Guanrong, 2005. "On the generalized Lorenz canonical form," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1271-1276.
    3. 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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    1. Signing, V.R. Folifack & Kengne, J. & Pone, J.R. Mboupda, 2019. "Antimonotonicity, chaos, quasi-periodicity and coexistence of hidden attractors in a new simple 4-D chaotic system with hyperbolic cosine nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 187-198.
    2. Wu, Wenjuan & Chen, Zengqiang & Yuan, Zhuzhi, 2009. "The evolution of a novel four-dimensional autonomous system: Among 3-torus, limit cycle, 2-torus, chaos and hyperchaos," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2340-2356.
    3. Wu, Yue & Zhou, Xiaobing & Chen, Jia & Hui, Bei, 2009. "Chaos synchronization of a new 3D chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1812-1819.

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