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Comment on Schöner-Haken systematic adiabatic approximation for stochastic differential equations

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Zeitschrift für Physik B Condensed Matter

Abstract

Recently, G. Schöner and H. Haken (SH) have proposed a nice systematic elimination procedure and a nice systematic adiabatic approximation (SAA) for stochastic differential equations (SDE's). In this comment, some simplified operator calculi and some general formulas for SH's theory are obtained for an important class of SDE's

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References

  1. Schöner, G., Haken, H.: Z. Phys. B-Condensed Matter63 (1986) 493

    Google Scholar 

  2. Schöner, G., Haken, H.: Z. Phys. B-Condensed Matter68 (1987) 89

    Google Scholar 

  3. Haken, H.: Advanced synergetics. Berlin, Heidelberg, New York: Springer 1983

    Google Scholar 

  4. Haken, H.: Synergetics—an introduction. 3rd Edn. Berlin, Heidelberg, New York: Springer 1983

    Google Scholar 

  5. Cooperative dynamics in complex physical systems. Takayama H. (ed.) Berlin, Heidelberg, New York: Springer 1989

    Google Scholar 

  6. Instabilities and chaos in quantum optics II. Abraham, N., Srecchi, F.T., Lugiato, L. (eds.) New York: Plenum 1988

    Google Scholar 

  7. Horsthemke, W., Lefever, R.: Noise-Induced Transitions. Berlin, Heidelberg, New York: Springer 1984

    Google Scholar 

  8. Arnold, L.: Stochastic differential equations: theory and applications. New York: Wiley-Interscience 1974

    Google Scholar 

  9. Gardiner, C.W.: Handbook of stochastic methods. Berlin, Heidelberg, New York: Springer 1983

    Google Scholar 

  10. Novikov, E.A.: Zh. Eksp. Teor. Fiz.47 (1964) 1919

    Google Scholar 

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Wu, D.J., Cao, L. Comment on Schöner-Haken systematic adiabatic approximation for stochastic differential equations. Z. Physik B - Condensed Matter 81, 131–136 (1990). https://doi.org/10.1007/BF01454224

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  • DOI: https://doi.org/10.1007/BF01454224

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