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DC-offset induced asymmetry in memristive diode-bridge-based Shinriki oscillator

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  • Wu, H.
  • Zhou, J.
  • Chen, M.
  • Xu, Q.
  • Bao, B.

Abstract

Asymmetric voltage-current locus is an essential property of a physical memristor when applying a bipolar periodic stimulus. To emulate this asymmetric property, this paper presents an asymmetric memristive diode-bridge (AMD) emulator by inserting a DC-offset into one bridge arm of the memristive diode-bridge. The mathematic model of the AMD emulator is derived and the DC-offset induced asymmetric voltage-current loci are studied. Furthermore, this paper proposes an AMD-based Shinriki oscillator by introducing the AMD emulator into the Shinriki oscillator and investigates the DC-offset induced kinetic behaviors using several numerical analysis methods. The AMD-based Shinriki oscillator has three fixed equilibrium points, consisting of one unstable index-1 saddle-focus and two unstable asymmetric index-2 saddle-foci. Due to the introduction of the DC-offset, the symmetry of the two unstable index-2 saddle-foci equilibrium points is broken, leading to the emergence of complex asymmetric kinetic behaviors with multi-stability in the AMD-based Shinriki oscillator. Finally, a hardware circuit is developed and its experimental results are captured to verify the numerical analysis results.

Suggested Citation

  • Wu, H. & Zhou, J. & Chen, M. & Xu, Q. & Bao, B., 2022. "DC-offset induced asymmetry in memristive diode-bridge-based Shinriki oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    • Handle: RePEc:eee:chsofr:v:154:y:2022:i:c:s0960077921009784
    DOI: 10.1016/j.chaos.2021.111624
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    5. Li, Kexin & Bao, Bocheng & Ma, Jun & Chen, Mo & Bao, Han, 2022. "Synchronization transitions in a discrete memristor-coupled bi-neuron model," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    6. Ling Zhou & Zhenzhen You & Xiaolin Liang & Xiaowu Li, 2022. "A Memristor-Based Colpitts Oscillator Circuit," Mathematics, MDPI, vol. 10(24), pages 1-16, December.
    7. Ramadoss, Janarthanan & Kengne, Jacques & Tanekou, Sosthene Tsamene & Rajagopal, Karthikeyan & Kenmoe, Germaine Djuidje, 2022. "Reversal of period doubling, multistability and symmetry breaking aspects for a system composed of a van der pol oscillator coupled to a duffing oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    8. Lin, Hairong & Wang, Chunhua & Du, Sichun & Yao, Wei & Sun, Yichuang, 2023. "A family of memristive multibutterfly chaotic systems with multidirectional initial-based offset boosting," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).

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