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A new memductance-based fractional-order chaotic system and its fixed-time synchronisation

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  • Dutta, Maitreyee
  • Roy, Binoy Krishna

Abstract

Through this manuscript, the intentions of the authors are to present a new memductance-based fractional-order chaotic system. The new chaotic system shows coexisting single to double wings attractors for some typical values of initial conditions. Furthermore, a fixed-time convergence technique is applied for synchronisation between two identical proposed chaotic systems as the master and slave systems. This synchronisation technique is robust against bounded disturbances and parametric uncertainties. Through switching between synchronisation and anti-synchronisation, the performance of the algorithm is shown. The simulation results reveal the satisfactory performance of the algorithm.

Suggested Citation

  • Dutta, Maitreyee & Roy, Binoy Krishna, 2021. "A new memductance-based fractional-order chaotic system and its fixed-time synchronisation," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    • Handle: RePEc:eee:chsofr:v:145:y:2021:i:c:s096007792100134x
    DOI: 10.1016/j.chaos.2021.110782
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    Cited by:

    1. Yildirim, Melih, 2022. "Optical color image encryption scheme with a novel DNA encoding algorithm based on a chaotic circuit," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    2. Xiao, Lin & Li, Linju & Cao, Penglin & He, Yongjun, 2023. "A fixed-time robust controller based on zeroing neural network for generalized projective synchronization of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    3. Luo, Runzi & Liu, Shuai & Song, Zijun & Zhang, Fang, 2023. "Fixed-time control of a class of fractional-order chaotic systems via backstepping method," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).

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