The study of dynamic singularities of seismic signals by the generalized Langevin equation

Abstract

Analytically and quantitatively we reveal that the generalized Langevin equation (GLE), based on a memory function approach, in which memory functions and information measures of statistical memory play a fundamental role in determining the thin details of the stochastic behavior of seismic systems, naturally leads to a description of seismic phenomena in terms of strong and weak memory. Due to a discreteness of seismic signals we use a finite–discrete form of the GLE. Here we studied some cases of seismic activities of Earth groundmotion in Turkey with consideration of the complexity, nonergodicity and fractality of seismic signals. © 2009 Elsevier B.V. All rights reserved.

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Cite this paper

@inproceedings{Yulmetyev2009TheSO, title={The study of dynamic singularities of seismic signals by the generalized Langevin equation}, author={Renat M. Yulmetyev and Ramil Khusnutdinoff and Timur Tezel and Bekir Tuzel and Peter H{\"a}nggi}, year={2009} }