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

Renat Yulmetyev, Ramil Khusnutdinoff, Timur Tezel, Yildiz Iravul, Bekir Tuzel and Peter Hänggi

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 17, 3629-3635

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 ground motion in Turkey with consideration of the complexity, nonergodicity and fractality of seismic signals.

Keywords: Generalized Langevin equation; Seismic systems; Nonergodicity; Fractality (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:17:p:3629-3635

DOI: 10.1016/j.physa.2009.05.010

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