Articles | Volume 22, issue 5
Research article
08 Sep 2015
Research article |  | 08 Sep 2015

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

K. Vasudevan, M. Cavers, and A. Ware

Related authors

Brief Communication: Earthquake sequencing: analysis of time series constructed from the Markov chain model
M. S. Cavers and K. Vasudevan
Nonlin. Processes Geophys., 22, 589–599,,, 2015
Short summary

Related subject area

Subject: Time series, machine learning, networks, stochastic processes, extreme events | Topic: Solid earth, continental surface, biogeochemistry
Application of Lévy processes in modelling (geodetic) time series with mixed spectra
Jean-Philippe Montillet, Xiaoxing He, Kegen Yu, and Changliang Xiong
Nonlin. Processes Geophys., 28, 121–134,,, 2021
Short summary
Seismic section image detail enhancement method based on bilateral texture filtering and adaptive enhancement of texture details
Xiang-Yu Jia and Chang-Lei DongYe
Nonlin. Processes Geophys., 27, 253–260,,, 2020
Short summary
A fast approximation for 1-D inversion of transient electromagnetic data by using a back propagation neural network and improved particle swarm optimization
Ruiyou Li, Huaiqing Zhang, Nian Yu, Ruiheng Li, and Qiong Zhuang
Nonlin. Processes Geophys., 26, 445–456,,, 2019
Short summary
Negentropy anomaly analysis of the borehole strain associated with the Ms 8.0 Wenchuan earthquake
Kaiguang Zhu, Zining Yu, Chengquan Chi, Mengxuan Fan, and Kaiyan Li
Nonlin. Processes Geophys., 26, 371–380,,, 2019
Short summary
Mahalanobis distance-based recognition of changes in the dynamics of a seismic process
Teimuraz Matcharashvili, Zbigniew Czechowski, and Natalia Zhukova
Nonlin. Processes Geophys., 26, 291–305,,, 2019

Cited articles

Abrams, D. M. and Strogatz, S. H.: Chimera states for coupled oscillators, Phys. Rev. Lett., 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,, 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.
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.