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Determination of fokker-planck equations from experimental data sets of complex systems

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Transport and Structure

Part of the book series: Lecture Notes in Physics ((LNP,volume 532-532))

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Abstract

A method for analyzing fluctuating data sets of complex systems is presented. The algorithm will deliver deterministic and stochastic parts of the dynamics of the investigated process for a special class of systems. The results of an application of the analysis to simulated data sets of one- and two-dimensional stochastic systems are shown.

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References

  1. Arnold L. (1973): Stochastische Differentialgleichungen (R. Oldenbourg Verlag, München, Wien)

    MATH  Google Scholar 

  2. Borland L. M., Haken H. (1992): Unbiased Determination of Forces Causing Observed Processes. The case of additive and weak multiplicative noise. Z. Phys. B 81, 95

    Article  ADS  Google Scholar 

  3. Borland L. M., Haken H. (1992): Unbiased Estimate of Forces from Measured Correlation Functions, including the Case of Strong Multiplicative Noise. Ann. Physik 1, 452

    Article  ADS  Google Scholar 

  4. Friedrich R., Peinke J. (1997): Description of a Turbulent Cascade by a Fokker-Planck Equation. PRL 78, 863

    Article  ADS  Google Scholar 

  5. Gardiner C. W. (1990): Handbook of Stochastic Methods (2.Auflage Springer, Berlin, Heidelberg)

    MATH  Google Scholar 

  6. Hänggi P., Thomas H. (1982): Stochastic processes: time evolution, symmetries and linear response. Phys. Rep. 88, 207

    Article  ADS  MathSciNet  Google Scholar 

  7. Honerkamp J. (1990): Stochastische Dynamische Systeme (VCH Verlagsgesellschaft Weinheim)

    Google Scholar 

  8. Klimontovich Y. L. (1993): The Reconstruction of the Fokker-Planck and Master Equations on the Basis of Experimental Data: H-Theorem and S-Theorem. Int. Journ. of Bifurcation and Chaos 3, 119

    Article  MATH  MathSciNet  Google Scholar 

  9. Risken H. (1989): The Fokker-Planck Equation (2. Auflage Springer, Berlin, Heidelberg)

    MATH  Google Scholar 

  10. Siegert S., Friedrich R., Peinke J. (1998): Analysis of data sets of stochastic systems. Phys. Lett. A 243, 275

    Article  MATH  ADS  MathSciNet  Google Scholar 

  11. Stratonovich R. L. (1966): A new representation for stochastic integrals and equations. SIAM J. Control 4, 362

    Article  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Stuttgart, Pfaffenwaldring 57, D-70550, Stuttgart, Germany

    Rudolf Friedrich & Silke Siegert

  2. Fachbereich Physik, Universität Oldenburg, D-26111, Oldenburg, Germany

    Joachim Peinke

Authors
  1. Rudolf Friedrich
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  2. Silke Siegert
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  3. Joachim Peinke
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Editor information

Stefan C. Müller Jürgen Parisi Walter Zimmermann

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© 1999 Springer-Verlag

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Friedrich, R., Siegert, S., Peinke, J. (1999). Determination of fokker-planck equations from experimental data sets of complex systems. In: Müller, S.C., Parisi, J., Zimmermann, W. (eds) Transport and Structure. Lecture Notes in Physics, vol 532-532. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104231

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  • DOI: https://doi.org/10.1007/BFb0104231

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66632-5

  • Online ISBN: 978-3-540-48070-9

  • eBook Packages: Springer Book Archive

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