Quasi-periodic events on structured earthquake models

doi:10.1088/1674-1056/ab3449

Abstract

There has been much interest in studying quasi-periodic events on earthquake models. Here we investigate quasi-periodic events in the avalanche time series on structured earthquake models by the analysis of the autocorrelation function and the fast Fourier transform. For random spatial earthquake models, quasi-periodic events are robust and we obtain a simple rule for a period that is proportional to the choice of unit time and the dissipation of the system. Moreover, computer simulations validate this rule for two-dimensional lattice models and cycle graphs, but our simulation results also show that small-world models, scale-free models, and random rule graphs do not have periodic phenomena. Although the periodicity of avalanche does not depend on the criticality of the system or the average degree of the system or the size of the system, there is evidence that it depends on the time series of the average force of the system.

Keywords: quasi-periodic event self-organized criticality earthquake model

Received: 31 May 2019
Revised: 12 July 2019
Accepted manuscript online:

PACS:	05.65.+b	(Self-organized systems)
	45.70.Ht	(Avalanches)
	91.30.-f	(Seismology)
	89.75.Da	(Systems obeying scaling laws)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11575072 and 11675096), the Fundamental Research Funds for the Central Universities, China (Grant No. GK201702001), and the FPALAB-SNNU, China (Grant No. 16QNGG007).

Corresponding Authors: Zhi-Xi Wu, Sheng-Jun Wang
E-mail: wuzhx@lzu.edu.cn;wangshjun@snnu.edu.cn

Cite this article:

Bin-Quan Li(李斌全), Zhi-Xi Wu(吴枝喜), Sheng-Jun Wang(王圣军) Quasi-periodic events on structured earthquake models 2019 Chin. Phys. B 28 090503

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Quasi-periodic events on structured earthquake models

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