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Zeitschrift für Physik B Condensed Matter

, Volume 76, Issue 3, pp 403–411 | Cite as

Correlation functions near instabilities in systems driven by parametric noise

  • J. Casademunt
  • A. Hernández-Machado
Article

Abstract

The steady-state correlation functions of non-linear stochastic processes driven by parametric noise are studied. A systematic method proposed by Nadler and Schulten is applied beyond the lowest order for the first time in this context. It is reformulated in a way which admits generalization to noises other than Gaussian and white. The explicit results obtained close to the instability point for the Verhulst model with Gaussian white noise improve considerably those previously obtained by continued-fraction techniques.

Keywords

Spectroscopy Neural Network State Physics Correlation Function Complex System 
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.

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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • J. Casademunt
    • 1
  • A. Hernández-Machado
    • 1
  1. 1.Department d'Estructura i Constituents de la MatèriaUniversitat de BarcelonaBarcelonaSpain

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