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A fractional-order hyperchaotic system and its synchronization

Author

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  • Deng, Hongmin
  • Li, Tao
  • Wang, Qionghua
  • Li, Hongbin

Abstract

In this paper a novel fractional-order hyperchaotic system is proposed. The chaotic properties of the system in phase portraits are analyzed by using linear transfer function approximation of the fractional-order integrator block. Furthermore, synchronization between two fractional-order systems is achieved by utilizing a single-variable feedback method. Simulation results show that our scheme can not only make the two systems synchronized, but also let them remain in chaotic states.

Suggested Citation

  • Deng, Hongmin & Li, Tao & Wang, Qionghua & Li, Hongbin, 2009. "A fractional-order hyperchaotic system and its synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 962-969.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:2:p:962-969
    DOI: 10.1016/j.chaos.2008.04.034
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    References listed on IDEAS

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    1. Giresse, Tene Alain & Crépin, Kofane Timoleon, 2017. "Chaos generalized synchronization of coupled Mathieu-Van der Pol and coupled Duffing-Van der Pol systems using fractional order-derivative," Chaos, Solitons & Fractals, Elsevier, vol. 98(C), pages 88-100.

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