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Anticontrol of chaos for dynamic systems in p-normal form: A homogeneity-based approach

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  • Yang, Ruoting
  • Hong, Yiguang
  • Qin, Huashu
  • Chen, Guanrong

Abstract

In this paper, the problem of chaos anticontrol design is studied. A nonlinear feedback approach based on the homogeneity with dilation is proposed for chaos generation, for a class of continuous-time nonlinear systems that can be transformed into the p-normal form. Some theoretical analysis is presented for the proposed chaos anticontrol scheme. A design procedure is detailed via an illustrative example, and its dynamical behaviors are also investigated.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:3:p:687-697
    DOI: 10.1016/j.chaos.2004.11.090
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    Cited by:

    1. 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.

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