Arnold’s tongues at electromagnetic and mechanical synchronization of stick-slip

Main Article Content

T. Chelidze
E. M Mepharidze
D. Tephnadze

Abstract

Synchronization phenomena are encountered in various fields, from mechanics to biological and social processes. Thus it is only natural that synchronization is observed in many geophysical fields, as the Earth is embedded in the oscillating field of different origin with extremely wide range of frequencies, from seconds to months and years. These large-scale natural processes can be modeled in laboratory. In the paper, the results of laboratory experiments on the mechanical and electromagnetic synchronization of mechanical instability (slip) of a slider-spring system are presented. Slip events were recorded as acoustic emission bursts. The data allow delineating approximately of the synchronization regions (Arnold’s tongues) in the plot of forcing intensity versus forcing frequency for both mechanical and electromagnetic synchronization.
Published: Mar 26, 2015

Article Details

How to Cite
Chelidze, T., Mepharidze, E. M., & Tephnadze, D. (2015). Arnold’s tongues at electromagnetic and mechanical synchronization of stick-slip. Journals of Georgian Geophysical Society, 17(A). Retrieved from https://ggs.openjournals.ge/index.php/GGS/article/view/1624
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References

1. Chelidze, T., Varamashvili, N., Devidze, M., Tchelidze, Z., Chikhladze, V., Matcharashvili, T., 2002. Laboratory Study of Electromagnetic Initiation of Slip. Annals of Geophysics, 45, 587-599.

2. Chelidze, T., Lursmanashvili, O., 2003. Electromagnetic and mechanical control of slip: laboratory experiments with slider system. Nonlinear Processes in Geophysics, 20, 1-8.

3. Chelidze T., Matcharashvili, T., Gogiashvili, J.,Lursmanashvili, O, Devidze, M., 2005. Phase synchronization of slip in laboratory slider system. Nonlinear processes in Geophysics,12, 1-8.

4. Chelidze, T., Lursmanashvili, O., Matcharashvili, T., Varamashvili, N., Zhukova, N., Mepharidze, E., 2010. High order synchronization of stick-slip process: experiments on spring-slider system. Nonlinear Dynamics, DOI 10.1007/s11071-009-9536-6. a.

5. Chelidze, T., Matcharashvili, T., Lursmanashvili, O., Varamashvili, N., and Zhukova, N., Meparidze, E., 2010. Triggering and Synchronization of Stick-Slip: Experiments on Spring-Slider System. in: Geoplanet: Earth and Planetary Sciences, Volume 1, 2010, DOI: 10.1007/978-3-642-12300-9; Synchronization and Triggering: from Fracture to Earthquake Processes. Eds.V.de Rubeis, Z. Czechowski and R. Teisseyre, pp.123-164. b.

6. Chelidze, T., and Varamashvili, N., 2010. Models of Stick-Slip Motion: Impact of Periodic Forcing; in: Geoplanet: Earth and Planetary Sciences, Volume 1, 2010, DOI: 10.1007/978-3-642-12300-9; Synchronization and Triggering: from Fracture to Earthquake Processes. Eds.V.de Rubeis, Z. Czechowski and R. Teisseyre, pp. 23-33.

7. Chelidze, T., and Matcharashvili, T., 2013. Triggering and Synchronization of Seismicity: Laboratory and Field Data - a Review.In: Earthquakes – Triggers, Environmental Impact and Potential Hazards. (Ed. K. Konstantinou), Nova Science Pub.

8. Kantz, H., Schreiber T., 1997. Nonlinear time series analysis. Cambridge University Press, Cambridge.

9. Pikovsky, A., Rosenblum, M. G., Kurths. J., 2003. Synchronization: Universal Concept in Nonlinear Science. Cambridge University Press, Cambridge.

10. Prejean, S., Hill, D., 2009. Dynamic triggering of Earthquakes. In: Encyclopedia of Complexity and Systems Science, R. A. Meyers (Ed.), Springer, pp. 2600-2621.

11. Rosenblum, M. G., Pikovsky, A., Kurths, J., 1996. Phase synchronization of chaotic oscillators. Phys. Rev. Lett., 76, 1804-1808.

12. Rosenblum, M.G., Pikovsky, A., Kurths. J., 1997. Effect of phase synchronization in driven chaotic oscillators. IEEE Trans. CAS-I, 44. 874-881.

13. Zhukova, N., Chelidze, T., Matcharashvili, T., 2013. Automatic onset time picking of acoustic signals. Journal of Georgian Geophysical Society, Issue (A), Physics of Solid Earth, v.16a, 2013, pp.115-119.