Infinite Networks of Hubs, Spirals, and Zig-Zag Patterns in Self-sustained Oscillations of a Tunnel Diode and of an Erbium-doped Fiber-ring Laser

  • Ricardo E. Francke
  • Thorsten Pöschel
  • Jason A. C. Gallas
Part of the Studies in Computational Intelligence book series (SCI, volume 459)


A remarkably regular organization of spirals converging to a focal point in control parameter space was recently predicted and then observed in a nonlinear circuit containing two diodes. Such spiral organizations are relatively hard to observe experimentally because they usually emerge very compressed. Here we show that a circuit with a tunnel diode displays not one but two large spiral cascades. We show such cascades to exist over wide parameter ranges and, therefore, we expect them to be easier to observe experimentally.


Light Emit Diode Lyapunov Exponent Parameter Plane Chaotic Oscillation Control Space 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Ricardo E. Francke
    • 1
  • Thorsten Pöschel
    • 2
  • Jason A. C. Gallas
    • 2
    • 3
    • 1
  1. 1.Instituto de Física da UFRGSPorto AlegreBrazil
  2. 2.Institute for Multiscale SimulationFriedrich-Alexander UniversitätErlangenGermany
  3. 3.Departamento de FísicaUniversidade Federal da ParaíbaJoão PessoaBrazil

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