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Dynamics, synchronization and circuit implementation of a simple fractional-order chaotic system with hidden attractors

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  • Wang, Mengjiao
  • Liao, Xiaohan
  • Deng, Yong
  • Li, Zhijun
  • Su, Yongxin
  • Zeng, Yicheng

Abstract

A simple 4-D fractional-order chaotic system with hidden attractors is studied in this paper. Such a simple system can display distinguished dynamical behaviors. Specially, two different types of multistability are displayed, one of which is caused by changing the initial values of state variables, and the another is caused by introducing a scalar about offset boosting and changing the value of this scalar under the invariant initial conditions. With the view of practical application, the spectral entropy (SE) algorithm is chosen to estimate the complexity of fractional-order chaotic system. In addition, the synchronization of two fractional-order chaotic systems is discussed. Different from the previous numerical simulation scheme, an analog electronic circuit is designed to verify the effectiveness and practicability of the synchronization method. And the hidden hyperchaotic attractors of drive system are successfully captured on the oscilloscope by hardware electronic circuit.

Suggested Citation

  • Wang, Mengjiao & Liao, Xiaohan & Deng, Yong & Li, Zhijun & Su, Yongxin & Zeng, Yicheng, 2020. "Dynamics, synchronization and circuit implementation of a simple fractional-order chaotic system with hidden attractors," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    • Handle: RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303418
    DOI: 10.1016/j.chaos.2019.109406
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    References listed on IDEAS

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    Cited by:

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    8. Calgan, Haris, 2024. "Incommensurate fractional-order analysis of a chaotic system based on interaction between dark matter and dark energy with engineering applications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 635(C).

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