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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 22, issue 5
Nonlin. Processes Geophys., 22, 499–512, 2015
https://doi.org/10.5194/npg-22-499-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
Nonlin. Processes Geophys., 22, 499–512, 2015
https://doi.org/10.5194/npg-22-499-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.

Research article 08 Sep 2015

Research article | 08 Sep 2015

Earthquake sequencing: chimera states with Kuramoto model dynamics on directed graphs

K. Vasudevan et al.

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Short summary

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Subject: Time Series, Complex Networks, Stochastic Processes, Extreme Events | Topic: Solid Earth, Continental Surface, Biogeochemistry
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Cited articles

Abrams, D. M. and Strogatz, S. H.: Chimera states for coupled oscillators, Phys. Rev. Lett., 93, 174102, https://doi.org/10.1103/PhysRevLett.93.174102, 2004.
Abrams, D. M., Mirollo, R., Strogatz, S. H., and Wiley, D. A.: Solvable model for chimera states of coupled oscillators, Phys. Rev. Lett., 101, 084103, https://doi.org/10.1103/PhysRevLett.101.084103, 2008.
Acebrón, J. A., Bonila, L. L., Vicente, C. J. P., Ritort, F., and Spigler, R.: The Kuramoto model: A simple paradigm for synchronization phenomena, Rev. Mod. Phys., 77, 137–185, 2005.
Arenas, A., Diaz-Guilera, A., Kurths, J., Moreno, Y., and Zhou, C.: Synchronization in complex networks, Phys. Reports, 469, 93–153, 2008.
Bath, M.: Lateral inhomogeneities of the upper mantle, Tectonophysics, 2, 483–514, 1965.
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Short summary
Earthquake sequencing is an intriguing research topic and the dynamics involved are complex. For directed graphs that represent earthquake sequencing, the Kuramoto model yields synchronization. Inclusion of non-local effects evokes the occurrence of chimera states or the co-existence of synchronous and asynchronous behavior among earthquake zones. It is the chaotic dynamics of them resulting in certain patterns that we begin to see in the sequence of seismic events with a very simple model.
Earthquake sequencing is an intriguing research topic and the dynamics involved are complex. ...
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