Articles | Volume 22, issue 5
https://doi.org/10.5194/npg-22-499-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/npg-22-499-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
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
CORRESPONDING AUTHOR
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, T2N 1N4, Canada
M. Cavers
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, T2N 1N4, Canada
A. Ware
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, T2N 1N4, Canada
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Cited
18 citations as recorded by crossref.
- Generalized frustration in the multidimensional Kuramoto model M. de Aguiar 10.1103/PhysRevE.107.044205
- Exponential synchronization of the high-dimensional Kuramoto model with identical oscillators under digraphs J. Zhang & J. Zhu 10.1016/j.automatica.2019.01.002
- Model reduction for the Kuramoto-Sakaguchi model: The importance of nonentrained rogue oscillators W. Yue et al. 10.1103/PhysRevE.101.062213
- The Kuramoto model in complex networks F. Rodrigues et al. 10.1016/j.physrep.2015.10.008
- Synchronization of high‐dimensional Kuramoto models with nonidentical oscillators and interconnection digraphs J. Zhang & J. Zhu 10.1049/cth2.12223
- Polaritonic network as a paradigm for dynamics of coupled oscillators K. Kalinin & N. Berloff 10.1103/PhysRevB.100.245306
- Phase response curves for models of earthquake fault dynamics I. Franović et al. 10.1063/1.4953471
- Collective Synchronization of Kuramoto-Oscillator Networks J. Wu & X. Li 10.1109/MCAS.2020.3005485
- A stochastic approximation for the finite-size Kuramoto–Sakaguchi model W. Yue & G. Gottwald 10.1016/j.physd.2024.134292
- An investigation of synchronization robustness considering randomness and asymmetries P. Carvalho & M. Savi 10.1515/ijnsns-2020-0258
- Human Synchronization Maps—The Hybrid Consciousness of the Embodied Mind F. Orsucci 10.3390/e23121569
- Stability of Phase Difference Trajectories of Networks of Kuramoto Oscillators with Time-Varying Couplings and Intrinsic Frequencies W. Lu & F. Atay 10.1137/16M1084390
- Nonlinear dynamics behind the seismic cycle: One-dimensional phenomenological modeling S. Kostić et al. 10.1016/j.chaos.2017.11.037
- Time and Energy Costs for Synchronization of Kuramoto-Oscillator Networks With or Without Noise Perturbation N. Liang et al. 10.1137/21M1457928
- Stationary and non-stationary chimeras in an ensemble of chaotic self-sustained oscillators with inertial nonlinearity A. Slepnev et al. 10.1007/s11071-017-3426-0
- Rotating clusters in phase-lagged Kuramoto oscillators with higher-order interactions B. Moyal et al. 10.1103/PhysRevE.109.034211
- Spatiotemporal dynamics of the Kuramoto-Sakaguchi model with time-dependent connectivity A. Banerjee & M. Acharyya 10.1103/PhysRevE.94.022213
- Synchronization of quaternion‐valued coupled systems with time‐varying coupling via event‐triggered impulsive control Y. Liu & Y. Lin 10.1002/mma.7777
18 citations as recorded by crossref.
- Generalized frustration in the multidimensional Kuramoto model M. de Aguiar 10.1103/PhysRevE.107.044205
- Exponential synchronization of the high-dimensional Kuramoto model with identical oscillators under digraphs J. Zhang & J. Zhu 10.1016/j.automatica.2019.01.002
- Model reduction for the Kuramoto-Sakaguchi model: The importance of nonentrained rogue oscillators W. Yue et al. 10.1103/PhysRevE.101.062213
- The Kuramoto model in complex networks F. Rodrigues et al. 10.1016/j.physrep.2015.10.008
- Synchronization of high‐dimensional Kuramoto models with nonidentical oscillators and interconnection digraphs J. Zhang & J. Zhu 10.1049/cth2.12223
- Polaritonic network as a paradigm for dynamics of coupled oscillators K. Kalinin & N. Berloff 10.1103/PhysRevB.100.245306
- Phase response curves for models of earthquake fault dynamics I. Franović et al. 10.1063/1.4953471
- Collective Synchronization of Kuramoto-Oscillator Networks J. Wu & X. Li 10.1109/MCAS.2020.3005485
- A stochastic approximation for the finite-size Kuramoto–Sakaguchi model W. Yue & G. Gottwald 10.1016/j.physd.2024.134292
- An investigation of synchronization robustness considering randomness and asymmetries P. Carvalho & M. Savi 10.1515/ijnsns-2020-0258
- Human Synchronization Maps—The Hybrid Consciousness of the Embodied Mind F. Orsucci 10.3390/e23121569
- Stability of Phase Difference Trajectories of Networks of Kuramoto Oscillators with Time-Varying Couplings and Intrinsic Frequencies W. Lu & F. Atay 10.1137/16M1084390
- Nonlinear dynamics behind the seismic cycle: One-dimensional phenomenological modeling S. Kostić et al. 10.1016/j.chaos.2017.11.037
- Time and Energy Costs for Synchronization of Kuramoto-Oscillator Networks With or Without Noise Perturbation N. Liang et al. 10.1137/21M1457928
- Stationary and non-stationary chimeras in an ensemble of chaotic self-sustained oscillators with inertial nonlinearity A. Slepnev et al. 10.1007/s11071-017-3426-0
- Rotating clusters in phase-lagged Kuramoto oscillators with higher-order interactions B. Moyal et al. 10.1103/PhysRevE.109.034211
- Spatiotemporal dynamics of the Kuramoto-Sakaguchi model with time-dependent connectivity A. Banerjee & M. Acharyya 10.1103/PhysRevE.94.022213
- Synchronization of quaternion‐valued coupled systems with time‐varying coupling via event‐triggered impulsive control Y. Liu & Y. Lin 10.1002/mma.7777
Saved (preprint)
Latest update: 21 Nov 2024
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. ...
