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Suppression and generation of chaos for a three-dimensional autonomous system using parametric perturbations

Author

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  • Wu, Xiaoqun
  • Lu, Jun-an
  • Iu, Herbert H.C.
  • Wong, Siu-Chung

Abstract

In this paper, we attempt to suppress or generate chaos in the newly presented Lü system using parametric perturbation. We find that this method not only suppresses chaotic behavior, but also induces chaos in non-chaotic parameter ranges. When we add the small sinusoidal perturbations, the system becomes four-dimension. From the calculation of Lyapunov exponents, we discover hyperchaos in the perturbed system, which has not yet been reported before.

Suggested Citation

  • Wu, Xiaoqun & Lu, Jun-an & Iu, Herbert H.C. & Wong, Siu-Chung, 2007. "Suppression and generation of chaos for a three-dimensional autonomous system using parametric perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 811-819.
    • Handle: RePEc:eee:chsofr:v:31:y:2007:i:4:p:811-819
    DOI: 10.1016/j.chaos.2005.10.050
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    References listed on IDEAS

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    1. Yang, Ruoting & Hong, Yiguang & Qin, Huashu & Chen, Guanrong, 2005. "Anticontrol of chaos for dynamic systems in p-normal form: A homogeneity-based approach," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 687-697.
    2. Lu, Jun Guo, 2005. "Generating chaos via decentralized linear state feedback and a class of nonlinear functions," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 403-413.
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    Cited by:

    1. Nikolov, Svetoslav, 2009. "Complex oscillatory behaviour in a delayed protein cross talk model with periodic forcing," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 385-395.
    2. Wang, Jiezhi & Chen, Zengqiang & Yuan, Zhuzhi, 2009. "Existence of a new three-dimensional chaotic attractor," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3053-3057.
    3. 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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