Testing for nonlinearity in time series: the method of surrogate data
Conference proceedings on Interpretation of time series from nonlinear mechanical systems
Observational evidence for earthquakes as a nonlinear dynamic process
13th annual international conference of the center for nonlinear studies on Nonlinear science
Symptoms of instability in a system of earthquake-prone faults
13th annual international conference of the center for nonlinear studies on Nonlinear science
Nonlinear time series analysis
Nonlinear time series analysis
Electromagnetic control of earthquake dynamics?
Computers & Geosciences
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We have evaluated the dynamical properties of the temporal distribution of the small earthquakes. Two main goals of the investigation were: (a) a qualitative evaluation of the nonlinear structure of the time distribution of earthquakes, taking place before and after the strongest Caucasian events; (b) a quantitative discrimination of the dynamics (of time distribution of earthquakes) preceding and following the largest regional earthquakes.The dynamical characteristics of seismicity before and after four recent large earthquakes in the Caucasian region have been investigated. Nonlinear time-series analysis techniques, such as calculation of the correlation dimension for sliding windows and surrogate data analysis tests have been used; inter-event time-interval sequences have been considered as a time series.It was determined that the dynamics of lithospheric processes, generating the temporal distributions of earthquakes, do not change qualitatively before and after the largest Caucasian earthquakes. Inter-event time-interval sequences reveal low-dimensional nonlinear structure in both situations.On the other hand, quantitative analysis shows that the low-dimensional nonlinear structure of the temporal distributions of earthquakes after the largest events is significantly different than those before the largest events.