Transition from Quasiperiodicity into Chaos in the Periodically Driven Conductivity of BSN Crystals

  • S. Martin
  • W. Martienssen
Part of the Springer Series in Synergetics book series (SSSYN, volume 32)


The instabilities in the electrical conductivity of barium sodium niobate (BSN) crystals are studied in the presence of ac and dc fields. Transitions from quasiperiodicity into chaos via phase locking are observed. Phase portraits, Poincaré sections and return maps constructed from measured voltage signals illustrate the emergence of a strange attractor from a torus. The dimension and entropy of the attractor are determined as a function of the control parameter.


Phase Portrait Strange Attractor Poincare Section Intrinsic Oscillation Quasiperiodic State 
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  1. 1.
    H. G. Schuster, “Deterministic Chaos,” VCH publishers, Weinheim (1984).MATHGoogle Scholar
  2. 2.
    R. M. Fleming and C. C. Grimes, Phys. Rev. Lett. 42, 1423 (1979).ADSCrossRefGoogle Scholar
  3. 3.
    S. W. Teitsworth, R. M. Westervelt, and E. E. Haller, Phys. Rev. Lett. 51, 825 (1983).ADSCrossRefGoogle Scholar
  4. 4.
    G. A. Held, C. Jeffries, and E. E. Haller, Phys. Rev. Lett. 52, 1037 (1984)ADSCrossRefGoogle Scholar
  5. 5.
    S. E. Brown, G. Mozurkewich, and G. Grüner, Phys. Rev. Lett. 52, 2277 (1984).ADSCrossRefGoogle Scholar
  6. 6.
    R. P. Hall, M. Sherwin, and A. Zettl, Phys. Rev. 29B, 7076 (1984).ADSGoogle Scholar
  7. 7.
    S. Martin, H. Leber and W. Martienssen, Phys. Rev. Lett. 53, 303 (1984).ADSCrossRefGoogle Scholar
  8. 8.
    P. Grassberger and I. Procaccia, Phys. Rev. 28A, 2591 (1983).ADSGoogle Scholar
  9. 9.
    P. Bäk, T. Bohr, M. H. Jensen and P. V. Christiansen, Solid State Comm. 51, 231 (1984).ADSCrossRefGoogle Scholar
  10. 10.
    P. Bäk, T. Bohr, and M. H. Jensen, Proc. of the 59th Nobel symposium, “The physics of chaos and related phenomena,” Gräftaavallen, Sweden (1984), Physica Scripta.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • S. Martin
    • 1
  • W. Martienssen
    • 1
  1. 1.Physikalisches Institut der Universität FrankfurtFrankfurt/MainGermany

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