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Dynamical behavior and application in Josephson Junction coupled by memristor

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  • Zhang, Ge
  • Ma, Jun
  • Alsaedi, Ahmed
  • Ahmad, Bashir
  • Alzahrani, Faris

Abstract

The memristor has drawn a considerable interest when the nanoscale memristor is regarded as the critical element of novel ultra-high density and low-power non-volatile memories. The nonlinearity of electric circuit is enhanced and the dynamical behavior becomes more complex when memristor is used in circuits because it memductance is dependent on the inputs current. Josephson Junction (JJ) coupled resonator also present complex dynamical behaviors in nonlinear circuit because JJ is used as sensitive inductive component. The Josephson Junction circuit employing memristor is designed in this paper. Firstly, dynamical properties about this model are discussed by numerically calculating phase portraits, Lyapunov exponents and bifurcation diagram. It is found that appropriate parameters setting can induce distinct chaotic and periodical states by analyzing the output series. The dynamical response and potential mechanism for behavior selection is discussed. Interestingly, the chaos encryption based on Josephson junction circuit coupled by memristor is investigated as well.

Suggested Citation

  • Zhang, Ge & Ma, Jun & Alsaedi, Ahmed & Ahmad, Bashir & Alzahrani, Faris, 2018. "Dynamical behavior and application in Josephson Junction coupled by memristor," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 290-299.
    • Handle: RePEc:eee:apmaco:v:321:y:2018:i:c:p:290-299
    DOI: 10.1016/j.amc.2017.10.054
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    References listed on IDEAS

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    1. Ma, Jun & Wu, Fuqiang & Hayat, Tasawar & Zhou, Ping & Tang, Jun, 2017. "Electromagnetic induction and radiation-induced abnormality of wave propagation in excitable media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 508-516.
    2. Zarei, Amin & Tavakoli, Saeed, 2016. "Hopf bifurcation analysis and ultimate bound estimation of a new 4-D quadratic autonomous hyper-chaotic system," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 323-339.
    3. Wu, Fuqiang & Wang, Chunni & Jin, Wuyin & Ma, Jun, 2017. "Dynamical responses in a new neuron model subjected to electromagnetic induction and phase noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 81-88.
    4. Ma, Jun & Wu, Fuqiang & Ren, Guodong & Tang, Jun, 2017. "A class of initials-dependent dynamical systems," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 65-76.
    5. Dmitri B. Strukov & Gregory S. Snider & Duncan R. Stewart & R. Stanley Williams, 2008. "The missing memristor found," Nature, Nature, vol. 453(7191), pages 80-83, May.
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    Cited by:

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    9. Guo, Yeye & Wang, Chunni & Yao, Zhao & Xu, Ying, 2022. "Desynchronization of thermosensitive neurons by using energy pumping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 602(C).

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