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Switching synchronisation of a 3-D multi-state-time-delay chaotic system including externally added memristor with hidden attractors and multi-scroll via sliding mode control

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Abstract

A 3-D multi-state-time-delayed chaotic system consisting of a externally added memristive element is proposed in this research work. The proposed system belongs to the family of hidden attractor and displaying multi-scroll behaviours. Multi-state-time-delayed chaotic system with multi-scroll is not seen in the literature. The chaotic behaviour of the proposed time-delayed chaotic system is investigated thoroughly by bifurcation analysis, phase-plane analysis, and instantaneous phase plot. Finally, a sliding mode controller is proposed for switching synchronisation between the two identical proposed multi-state-time-delayed chaotic systems including externally added memristor with disturbances.The simulation results confirm the claim of the paper.

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Authors and Affiliations

  1. Department of Electrical Engineering, National Institute of Technology Silchar, Silchar, India

    Nalini Prasad Mohanty, Rajeeb Dey & Binoy Krishna Roy

Authors
  1. Nalini Prasad Mohanty
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  2. Rajeeb Dey
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  3. Binoy Krishna Roy
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Correspondence to Nalini Prasad Mohanty.

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Mohanty, N.P., Dey, R. & Roy, B.K. Switching synchronisation of a 3-D multi-state-time-delay chaotic system including externally added memristor with hidden attractors and multi-scroll via sliding mode control. Eur. Phys. J. Spec. Top. 229, 1231–1244 (2020). https://doi.org/10.1140/epjst/e2020-900195-4

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  • DOI: https://doi.org/10.1140/epjst/e2020-900195-4

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