Duffing-like Behavior in Extended Turbulence Mode Models

  • E. D’Ambrogio
Conference paper
Part of the Research Reports in Physics book series (RESREPORTS)


We present a study on the nonlinear instability in a turbulence model in plasmas, based on an extended version of the system first investigated by S. Ya Vyshkind and M.I. Rabinovich, in order to include initial condition effects.


Periodic Solution Force Amplitude Initial Disturbance Duffing Oscillator Nonlinear Instability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    S. YA Vyshkind and M.I. Rabinovich, The phase stochastization mechanism and the structure of wave turbulence in dissipative media, Zh. Eksp. Teor. Fiz. 71, 557–571 (1976), Sov. Phys. JETP, 44, 2 (1976).ADSGoogle Scholar
  2. 2.
    J.M. Wersinger, J.M. Finn and E. Ott, Bifurcation and “strange” behavior in instability saturation by nonlinear three-wave mode coupling, Phys. Fluids, 23, 1142 (1980).MathSciNetADSMATHCrossRefGoogle Scholar
  3. 3.
    D. Biskamp and He Kaifen, Three-drift-wave interaction at finite parallel wave-length: bifurcations and transition to turbulence, Phys. Fluids 28, 2172 (1985).ADSCrossRefGoogle Scholar
  4. 4.
    J.C. Adam and M. Trocheris, Numerical and analytical demonstration of the interaction of a wave with a free-straming perturbation, Phys. Fluids, 27, 600 (1984).ADSMATHCrossRefGoogle Scholar
  5. 5.
    E. D’Ambrogio, Stochasticity in a deterministic model of cubic turbulence for dispersive, dissipative media, Atti del 13° congresso Nazionale dell’U.M.L. Torino, 3–9/IX/1987, X-5.Google Scholar
  6. 6.
    Ali H. Nayfeh and Dean T. Mook, Nonlinear oscillations. J. Wiley & S. 1979, Chapt. 6.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • E. D’Ambrogio
    • 1
  1. 1.Dipartimento di Scienze Matematiche dell’Università degli Studi TriesteTriesteItaly

Personalised recommendations