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Hyperchaotic behavior in a non-autonomous unified chaotic system with continuous periodic switch

Author

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  • Wu, Xiaoqun
  • Wang, Jinjun
  • Lu, Jun-an
  • Iu, Herbert H.C.

Abstract

This paper further investigates a non-autonomous unified chaotic system with continuous periodic switch found in [Lu J, Wu X. A unified chaotic system with continuous periodic switch. Chaos, Solitons & Fractals 2004;20:245–51], which is another different realization for the unified chaotic system developed in [Lü J, Chen G, Cheng D, Čelikovskyˇ S. Bridge the gap between the Lorenz system and the Chen system, Int J Bifurcat Chaos 2002;12:2917–26]. Hyperchaotic behavior is discovered within some system parameter range, which has not yet been reported before. The detailed behaviors of this system are not only demonstrated by computer simulations but also verified with Lyapunov exponents spectrum, bifurcation analysis and Poincáre maps.

Suggested Citation

  • Wu, Xiaoqun & Wang, Jinjun & Lu, Jun-an & Iu, Herbert H.C., 2007. "Hyperchaotic behavior in a non-autonomous unified chaotic system with continuous periodic switch," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1485-1490.
    • Handle: RePEc:eee:chsofr:v:32:y:2007:i:4:p:1485-1490
    DOI: 10.1016/j.chaos.2005.11.100
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    References listed on IDEAS

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    1. Zhang, Xiaohong & Liao, Xiaofeng & Li, Chuandong, 2005. "Impulsive control, complete and lag synchronization of unified chaotic system with continuous periodic switch," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 845-854.
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    Cited by:

    1. Kumar, Satish & Cuntz, Manfred & Musielak, Zdzislaw E., 2015. "Fractal and multifractal analysis of the rise of oxygen in Earth’s early atmosphere," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 296-303.
    2. Gao, Tiegang & Gu, Qiaolun & Chen, Zengqiang, 2009. "Analysis of the hyper-chaos generated from Chen’s system," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1849-1855.

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