{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T02:10:40Z","timestamp":1773022240500,"version":"3.50.1"},"reference-count":58,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2023,5,15]],"date-time":"2023-05-15T00:00:00Z","timestamp":1684108800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The understanding of the dynamical behavior of seismic phenomena is currently an open problem, mainly because seismic series can be considered to be produced by phenomena exhibiting dynamic phase transitions; that is, with some complexity. For this purpose, the Middle America Trench in central Mexico is considered a natural laboratory for examining subduction because of its heterogenous natural structure. In this study, the Visibility Graph method was applied to study the seismic activity of three regions within the Cocos plate: the Tehuantepec Isthmus, the Flat slab and Michoacan, each one with a different level of seismicity. The method maps time series into graphs, and it is possible to connect the topological properties of the graph with the dynamical features underlying the time series. The seismicity analyzed was monitored in the three areas studied between 2010 and 2022. At the Flat Slab and Tehuantepec Isthmus, two intense earthquakes occurred on 7 and 19 September 2017, respectively, and, on 19 September 2022, another one occurred at Michoacan. The aim of this study was to determine the dynamical features and the possible differences between the three areas by applying the following method. First, the time evolution of the a- and b-values in the Gutenberg\u2013Richter law was analyzed, followed by the relationship between the seismic properties and topological features using the VG method, the k\u2013M slope and the characterization of the temporal correlations from the \u03b3-exponent of the power law distribution, P(k) \u223c k\u2212\u03b3, and its relationship with the Hurst parameter, which allowed us to identify the correlation and persistence of each zone.<\/jats:p>","DOI":"10.3390\/e25050799","type":"journal-article","created":{"date-parts":[[2023,5,15]],"date-time":"2023-05-15T02:56:57Z","timestamp":1684119417000},"page":"799","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Visibility Graph Analysis of the Seismic Activity of Three Areas of the Cocos Plate Mexican Subduction Where the Last Three Large Earthquakes (M &gt; 7) Occurred in 2017 and 2022"],"prefix":"10.3390","volume":"25","author":[{"given":"Alejandro","family":"Ram\u00edrez-Rojas","sequence":"first","affiliation":[{"name":"Departamento de Ciencias B\u00e1sicas, Universidad Aut\u00f3noma Metropolitana, Ciudad de Mexico 02128, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1115-063X","authenticated-orcid":false,"given":"Elsa Leticia","family":"Flores-M\u00e1rquez","sequence":"additional","affiliation":[{"name":"Instituto de Geof\u00edsica, Universidad Nacional Aut\u00f3noma de Mexico, Ciudad Universitaria, Ciudad de Mexico 04510, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Carlos Alejandro","family":"Vargas","sequence":"additional","affiliation":[{"name":"Departamento de Ciencias B\u00e1sicas, Universidad Aut\u00f3noma Metropolitana, Ciudad de Mexico 02128, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,5,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"140","DOI":"10.1038\/nature17992","article-title":"Subduction controls the distribution and fragmentation of Earth\u2019s tectonic plates","volume":"535","author":"Mallard","year":"2016","journal-title":"Nature"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"eaax4295","DOI":"10.1126\/sciadv.aax4295","article-title":"What drives tectonic plates?","volume":"5","author":"Coltice","year":"2019","journal-title":"Sci. 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