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Analysis of time series from stochastic processes

Janez Gradišek, Silke Siegert, Rudolf Friedrich, and Igor Grabec
Phys. Rev. E 62, 3146 – Published 1 September 2000
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Abstract

Analysis of time series from stochastic processes governed by a Langevin equation is discussed. Several applications for the analysis are proposed based on estimates of drift and diffusion coefficients of the Fokker-Planck equation. The coefficients are estimated directly from a time series. The applications are illustrated by examples employing various synthetic time series and experimental time series from metal cutting.

  • Received 5 April 2000

DOI:https://doi.org/10.1103/PhysRevE.62.3146

©2000 American Physical Society

Authors & Affiliations

Janez Gradišek1,*, Silke Siegert2, Rudolf Friedrich2, and Igor Grabec1

  • 1Faculty of Mechanical Engineering, University of Ljubljana, Aškerčeva 6, SI-1000 Ljubljana, Slovenia
  • 2Institute for Theoretical Physics 3, University of Stuttgart, Pfaffenwaldring 57/5, D-70550 Stuttgart, Germany

  • *Electronic address: janez.gradisek@fs.uni-lj.si

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Vol. 62, Iss. 3 — September 2000

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