Skip to main content
SpringerLink
Log in

Chaos Synchronization Between Time Delay Coupled Josephson Junctions Governed by a Central Junction

  • Original Paper
  • Published:
Journal of Superconductivity and Novel Magnetism Aims and scope Submit manuscript

Abstract

We study chaos synchronization between Josephson junctions governed by a central junction with a time delay and demonstrate with numerical simulations the possibility of high-quality synchronization. The results are important for obtaining high-power systems of Josephson junctions, which are promising for practical applications.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. Licharev, K.K., Likharev, K.K.: Dynamics of Josephson Junctions and Circuits. Gordon and Breach Science Publ. (1991)

  2. Strogatz, S.H.: Nonlinear Dynamics and Chaos with Applications to Physics, Biology, Chemistry, and Engineering. Adilson-Wesley, MA (1994)

    Google Scholar 

  3. Schöll, E., Schuster, H.G. (eds.): Handbook of Chaos Control. Wiley-VCH, Weinheim (2007)

    Google Scholar 

  4. Boccaletti, S., Kurths, J., Osipov, G., Valladares, D.L., Zhou, C.S.: The synchronization of chaotic systems. Phys. Rep. 366, 1–100 (2002)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  5. Boccaletti, S., Grebogi, C., Lai, Y.-C., Mancini, H., Maza, D.: The control of chaos: theory and applications. Phys. Rep. 329, 103–197 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  6. Soriano, M.C., Garsia-Ojalvo, J., Mirasso, C.R., Fischer, I.: Complex photonics: dynamics and applications of delay-coupled semiconductor lasers. Rev. Mod. Phys. 85, 421–470 (2013)

    Article  ADS  Google Scholar 

  7. Whan, C.B., Lobb, C.L.: Complex dynamical behavior in RCL -shunted Josephson tunnel junctions. Phys. Rev. E 53, 495–513 (1996)

    Article  ADS  Google Scholar 

  8. Dana, S.K., Sengupta, D.C., Edoh, K.D.: Chaotic dynamics in Josephson junction. IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 48, 990–996 (2001)

    Article  Google Scholar 

  9. Fitch, M.J., Osiander, R.: Terahertz waves for communications and sensing. J. Hopkins APL Tech. Dig. 25, 348–355 (2004)

    Google Scholar 

  10. Myneni, K., Barr, T.A., Reed, B.R., Pethel, S.D., Corron, N.J.: High-precision ranging using a chaotic laser pulse train. Appl. Phys. Lett. 78, 1496–1498 (2001)

    Article  ADS  Google Scholar 

  11. Sivaprakasam, S., Shahverdiev, E.M., Spencer, P.S., Shore, K.A.: Experimental demonstration of anticipating synchronization in chaotic semiconductor lasers with optical feedback. Phys. Rev. Lett. 87(1–4), 154101 (2001)

    Article  ADS  Google Scholar 

  12. Shahverdiev, E.M., Sivaprakasam, S., Shore, K.A.: Lag synchronization in time-delayed systems. Phys. Lett. A 292, 320–324 (2002)

    Article  MATH  ADS  Google Scholar 

  13. Shahverdiev, E.M., Shore, K.A.: Chaos synchronization regimes in multiple-time-delay semiconductor lasers. Phys. Rev. E 77(1–4), 057201 (2008)

    Article  ADS  Google Scholar 

  14. Shahverdiev, E.M., Shore, K.A.: Impact of modulated multiple optical feedback time delays on laser diode synchronization. Opt. Comm. 282, 3568–3572 (2009)

    Article  ADS  Google Scholar 

  15. Shahverdiev, E.M., Shore, K.A.: Synchronization in multiple time delay chaotic laser diodes subject to incoherent optical feedbacks and incoherent optical injection. Nonlinear Anal. Real World Appl. 12, 3114–3124 (2011)

    Article  MATH  Google Scholar 

  16. Shahverdiev, E.M., Bayramov, P.A., Qocayeva, M.V.: Coupling dependent synchronization switching in time delay laser systems. Appl. Comput. Math. 13, 250–256 (2014)

    MATH  Google Scholar 

  17. Lin, S.-Z.: Mutual synchronization of two stacks of intrinsic Josephson junctions in cuprate superconductors. J. Appl. Phys. 115, 173901–173906 (2014)

    Article  ADS  Google Scholar 

  18. Li, L., Chen, L., Zhu, J., Freeman, J., Dean, P., Valavanis, A., Davies, A.G., Linfield, E.H.: Teraherz quantum cascade lasers with >1 W output powers. Electron. Lett. 50, 309–311 (2014)

    Article  Google Scholar 

  19. Nayak, C.R., Kuriakose, V.C.: Phase synchronization in an array of driven Josephson junctions. Chaos 18 (1–5), 013125 (2008)

    ADS  Google Scholar 

  20. Nayak, C.R., Kuriakose, V.C.: Phase effects on synchronization by dynamical relaying in delay-coupled systems. Chaos 18(1–5), 023129 (2008)

    Google Scholar 

  21. Shahverdiev, E.M., Hashimova, L.H., Bayramov, P.A., Nuriev, R.A.: Chaos synchronization between Josephson junctions coupled with time delays. J. Supercond. Nov. Magn. 27, 2225–2229 (2014)

    Article  Google Scholar 

  22. MacDonald, A.H., Plischke, M.: A Study of the driven damped pendulum: application to Josephson junctions and charge density wave systems. Phys. Rev. B 27, 201–211 (1983)

    Article  MathSciNet  ADS  Google Scholar 

  23. D’Humieres, D., Beasley, M.R., Huberman, B.A., Libchaber, A.: Chaotic states and routes to chaos in the forced pendulum. Phys. Rev. A 26, 3483–3496 (1982)

    Article  ADS  Google Scholar 

  24. Haykin, S.: Communication Systems. Wiley, New York (1994)

    Google Scholar 

Download references

Acknowledgments

The authors gratefully acknowledge Prof. K.A. Shore (Bangor University, UK) for comments on the manuscript.

Author information

Authors and Affiliations

  1. Institute of Physics, 33 H. Javid Avenue, Baku, AZ1143, Azerbaijan

    E. M. Shahverdiev, L. H. Hashimova, P. A. Bayramov & R. A. Nuriev

Authors
  1. E. M. Shahverdiev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. H. Hashimova
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. P. A. Bayramov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. R. A. Nuriev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. M. Shahverdiev.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shahverdiev, E.M., Hashimova, L.H., Bayramov, P.A. et al. Chaos Synchronization Between Time Delay Coupled Josephson Junctions Governed by a Central Junction. J Supercond Nov Magn 28, 3499–3505 (2015). https://doi.org/10.1007/s10948-015-3220-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10948-015-3220-5

Keywords

Search

Navigation