Synchronization and Triggering: from Fracture to Earthquake Processes

Cover -- Synchronization and Triggering: from Fracture to Earthquake Processes -- Contents -- Introduction -- Part I Theoretical Studies -- Chapter 1: Nonlinear Dynamics as a Tool for Revealing Synchronization and Ordering in Geophysical Time Series -- 1.1 Introduction -- 1.2 Overview of nonlinear data analysis methods -- 1.3 Investigation of dynamics of complex natural process: Caucasus seismicity -- References -- Chapter 2: Models of Stick-Slip Motion -- 2.1 Introduction -- 2.2 Main details of experimental stick-slip results -- 2.3 Mathematical models of friction -- References -- Chapter 3: Shear Oscillations, Rotations and Interactions in Asymmetric Continuum -- 3.1 Introduction -- 3.2 Asymmetric Continuum -- 3.3 Rotation and shear-twist motions -- 3.4 Dislocations and disclinations: fragmentation and cracks -- 3.5 Interaction fields -- 3.6 Direct relations between defect and electric fields -- 3.7 Interaction examples -- 3.8 Conclusions -- References -- Chapter 4: Processes in Micro-Fracture Continuum -- 4.1 Introduction -- 4.2 Asymmetric Continuum -- 4.3 Slip and fragmentation transport in fracture micro-continuum -- 4.4 Local transport in sources of asymmetric elastic continuum -- 4.5 Shear and confining loads -- 4.6 Conclusions -- References -- Chapter 5: On a Simple Stochastic Cellular Automaton with Avalanches -- 5.1 Introduction -- 5.2 The random domino automaton -- 5.3 Quasi-equilibrium equations -- 5.4 Summary and discussion -- References -- Chapter 6: Ito Equations as Macroscopic Stochastic Models of Geophysical Phenomena -- Construction of the Models on the Basis of Time Series -- 6.1 Introduction -- 6.2 What do a(y) and b(y) consist of? -- 6.3 Extracting microscopic information from a(y) and b(y) -- 6.4 Analytical derivation of a(y) and b(y) -- 6.5 Stochastic control in Ito models -- 6.6 Conclusions -- References -- Chapter 7: The Importance of Privilege for the Appearance of Long-Tail Distributions -- 7.1 Introduction -- 7.2 Nonlinear Transformations -- 7.3 The Master Equation and the Privilege Concept -- 7.4 The Role of Boundary Conditions -- 7.5 Ito Equations and the Privilege -- 7.6 Multiplicative Processes and the Privilege -- 7.7 Applications -- 7.8 Conclusions -- References -- Part II Laboratory Experiments -- Chapter 8: Triggering and Synchronization of Stick-Slip -- 8.1 Introduction -- 8.2 Electromagnetic Triggering of Slip -- 8.3 Analysis of Recorded Acoustic Waveforms -- 8.4 The Elementary Theory of EM Coupling with the Friction Force -- 8.5 Synchronization of Stick-slip -- 8.6 Synchronization: Quantitative Analysis -- 8.7 Phase Time Delay -- 8.8 Synchronization by Mechanical Forcing -- 8.9 High Order Synchronization of Stick-Slip Process: Experiments on Spring-Slider System -- 8.10 EM Synchronization: Physical Mechanism of Period Doubling -- 8.11 Conclusions -- References -- Chapter 9: Oscillating Load-Induced Acoustic Emission in Laboratory Experiment -- References -- Chapter 10: Acoustic Emission Dynamics Initiated by Fluid Infusion on Laboratory Scale -- 10.1 Introduction -- 10.2 Experiment procedure -- 10.3 Experiment results -- 10.4 Discussion -- 10.5 Conclusions -- References -- Chapter 11: Acoustic Emission Spectra Classification from Rock Samples of Etna Basalt in Deformation-Decompression Laboratory Experiments -- 11.1 Introduction -- 11.