Skip to main content
SpringerLink
Log in

Chaos in Josephson junctions

  • Applications
  • Published:
Pramana Aims and scope Submit manuscript

Abstract

A detailed analysis of the control space characterization of phase locked states and chaotic attractors in Josephson junctions is presented, based on a model that includes both quadratic damping and cosine interference terms. In addition, some novel features of the nonlinear characteristics of the junction like evolution of basin boundaries, bifurcation structure analysis and scaling behaviour of Lyapunov exponent are discussed.

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

Similar content being viewed by others

References

  1. Mc Cumber,J. Appl. Phys. 39, 3113 (1968)

    Article  ADS  Google Scholar 

  2. R Y Chiao, M J Feldman, D W Pedersen, B A Tucker and M T Levinsen, inFuture trends in superconductive electronics, AIP Conf. Proc. 44, 259 (1978)

    Google Scholar 

  3. B A Huberman, J P Crutchfield and N H Packard,Appl. Phys. Lett. 37, 750 (1980)

    Article  ADS  Google Scholar 

  4. M R Beasley and B A Huberman,Comments Solid State Phys. 10, 155 (1982)

    Google Scholar 

  5. N F Pedersen, M R Samuelsen and K Saermark,J. Appl. Phys. 44, 5120 (1973)

    Article  ADS  Google Scholar 

  6. K Okuyama, H J Hartfuss and K H Gundlach,J. Low Temp. Phys. 44, 283 (1981)

    Article  ADS  Google Scholar 

  7. D C Cronemeyer, C C Chi, A Davidson and N F Pedersen,Phys. Rev. B31, 2667 (1985)

    ADS  Google Scholar 

  8. M Octavio and C R Nasser,Phys. Rev. B30, 1586 (1984)

    ADS  Google Scholar 

  9. M Octavio,Physica A163, 248 (1990)

    ADS  Google Scholar 

  10. N F Pedersen,Physica D68, 27 (1993)

    ADS  Google Scholar 

  11. K K Likharev,Dynamics of Josephson junctions and circuits (New York: Gordon Breach, 1986)

    Google Scholar 

  12. R L Kautz and R Monaco,J. Appl. Phys. 57, 875 (1985)

    Article  ADS  Google Scholar 

  13. M Octavio,Phys. Rev. B29, 1231 (1984)

    ADS  Google Scholar 

  14. E G Gwinn and R M Westervelt,Phys. Rev. Lett. 54, 1613 (1985)

    Article  ADS  Google Scholar 

  15. D D Humieres, M R Beasley, B A Huberman and A Libcaber,Phys. Rev. A26, 3483 (1982)

    ADS  Google Scholar 

  16. A Davidson, B Dueholm and M R Beasley,Phys. Rev. B33, 5127 (1986)

    ADS  Google Scholar 

  17. M Bartucelli, P L Christiansen, N F Pedersen and M P Soerensen,Phys. Rev. B33, 4686 (1986)

    ADS  Google Scholar 

  18. G Ambika, K Babu Joseph and V M Nandakumar,Mod. Phys. Lett. B5, 519 (1991);B5, 1037 (1991)

    ADS  Google Scholar 

  19. G Ambika and K Babu Joseph, inSymmetries and singularity structures edited by M Lakshmanan and M Daniel (Heidelberg: Springer, 1990)

    Google Scholar 

  20. Y Yao,Phys. Lett. A118, 59 (1986)

    ADS  Google Scholar 

  21. F Palmero and F R Romero,Phys. Lett. A160, 553 (1991)

    ADS  Google Scholar 

  22. F Palmero and F R Romero,Phys. Lett. A179, 337 (1993)

    ADS  Google Scholar 

  23. K Sakai and Y Yamaguchi,Phys. Rev. B30, 1219 (1984)

    ADS  Google Scholar 

  24. R E Harris,Phys. Rev. B10, 84 (1974)

    ADS  Google Scholar 

  25. N F Pedersen and K Saermark,Physica 69, 572 (1973)

    Article  Google Scholar 

  26. M Morisne and A Kanasugi, inBifurcation and chaos edited by A Awrejcewicz (Heidelberg: Springer, 1995) p. 133

    Google Scholar 

  27. G Ambika,Indian J. Phys. A67, 551 (1993)

    Google Scholar 

  28. E D Rio, A R Lozano and M G Velarde,Chaos, solitons and fractals 4, 255 (1994)

    Article  MATH  Google Scholar 

  29. Z J Jing,SIAM J. Appl. Math. 49, 1749 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  30. W Xiao and X Yao,Acta. Phys. Sin. 38, 137 (1989)

    Google Scholar 

  31. G Ambika,J. Phys. Condens. Matter 4, 4829 (1992)

    Article  ADS  Google Scholar 

  32. J M T Thompson and Y Ueda,Dynamics and stability of systems 4, 285 (1989)

    MathSciNet  Google Scholar 

  33. M S Soliman and J M T Thompson,Int. J. Bif. Chaos 2, 81 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  34. G Ambika,Curr. Sci. 65, 870 (1993)

    Google Scholar 

  35. C Grebogi, E Ott and J A Yorke,Physica D7, 181 (1983)

    ADS  MathSciNet  Google Scholar 

  36. A N Lansbury and J M T Thompson,Phys. Lett. A150, 355 (1990)

    ADS  MathSciNet  Google Scholar 

  37. M S Soliman and J M T Thompson,Phys. Rev. A45, 3425 (1992)

    ADS  Google Scholar 

  38. G Ambika,Phys. Rev. B communicated

  39. A Wolf, T R Swift, H I Swinney and J A Vastano,Physica D16, 285 (1985)

    ADS  MathSciNet  Google Scholar 

  40. T S Parker and L O Chua,Practical numerical algorithms for chaotic systems (New York, Springer, 1989)

    MATH  Google Scholar 

  41. G Ambika,Phys. Lett. B221, 323 (1996)

    ADS  Google Scholar 

  42. N F Pedersen, inSuperconducting electronics, NATO ASI series vol. 59 edited by H Weinstock and M Nisenoff (Berlin: Springer, 1989) p. 209

    Google Scholar 

  43. G Ambika,Phys. Lett. A150, 273 (1990)

    ADS  Google Scholar 

  44. G Ambika and V M Nandakumaran,Phys. Lett. A192, 331 (1994)

    ADS  MathSciNet  Google Scholar 

  45. P Srinivasan,Nonlinear mechanical vibrations (New Delhi: New Age Int. P. Ltd., 1995)

    Google Scholar 

  46. L E Guerrerro and M Octavio,Phys. Rev. B37, 3641 (1988)

    ADS  Google Scholar 

  47. S Rajasekar and M Lakshmanan,Phys. Lett. A147, 264 (1990)

    ADS  MathSciNet  Google Scholar 

  48. G Rotoli and G Filatrella,Phys. Lett. A156, 211 (1991)

    ADS  Google Scholar 

  49. F Helsot, B Castaing and A Libchaber,Phys. Rev. B36, 5870 (1987)

    ADS  Google Scholar 

  50. D Browne and B Horovitz,Phys. Rev. Lett. 61, 1259 (1988)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Maharajas College, 682 011, Cochin, India

    G Ambika

Authors
  1. G Ambika
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ambika, G. Chaos in Josephson junctions. Pramana - J Phys 48, 637–654 (1997). https://doi.org/10.1007/BF02845666

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02845666

Keywords

PACS Nos

Search

Navigation