Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-11-23
Physics
Condensed Matter
Statistical Mechanics
REVTEX +12 ps and jpg figures. Accepted for publication in Phys. Rev. E, December 2001
Scientific paper
10.1103/PhysRevE.64.066132
The basic purpose of the paper is to draw the attention of researchers to new possibilities of differentiation of similar signals having different nature. One of examples of such kind of signals is presented by seismograms containing recordings of earthquakes (EQ's) and technogenic explosions (TE's). We propose here a discrete stochastic model for possible solution of a problem of strong EQ's forecasting and differentiation of TE's from the weak EQ's. Theoretical analysis is performed by two independent methods: with the use of statistical theory of discrete non-Markov stochastic processes (Phys. Rev. E62,6178 (2000)) and the local Hurst exponent. Time recordings of seismic signals of the first four dynamic orthogonal collective variables, six various plane of phase portrait of four dimensional phase space of orthogonal variables and the local Hurst exponent have been calculated for the dynamic analysis of the earth states. The approaches, permitting to obtain an algorithm of strong EQ's forecasting and to differentiate TE's from weak EQ's, have been developed.
Gafarov Fail
Hänggi Peter
Kayumov Shamil
Nigmatullin Raoul Rashid
Yulmetyev Renat
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