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Bifurcation diagrams and Lyapunov exponents are utilized to examine the impact of these parameters on the behavior of the system. The study specifically identifies important parameter ranges in which the attractor undergoes a sudden expansion, displaying characteristics of extreme events. Within the system, two distinct categories of extreme events can be identified: rare occurrences of small probability events located in the tail of the probability distribution and Dragon-King (DK) events, which possess a high probability amplitude. DK events are verified through the use of the DK test. The research concludes by examining the practical ramifications of these findings. The significance of forecasting and controlling extreme events in intricate systems is underscored, along with the cruciality of identifying their happening. <\/jats:p>","DOI":"10.1142\/s0218127424501359","type":"journal-article","created":{"date-parts":[[2024,8,19]],"date-time":"2024-08-19T04:16:34Z","timestamp":1724040994000},"source":"Crossref","is-referenced-by-count":2,"title":["Extreme and Dragon-King Events in a Discrete Neuron Model"],"prefix":"10.1142","volume":"34","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2977-3843","authenticated-orcid":false,"given":"Dianavinnarasi","family":"Joseph","sequence":"first","affiliation":[{"name":"Joseph Center for Computational Biology, Easwari Engineering College, Chennai 600089, Tamilnadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5618-2278","authenticated-orcid":false,"given":"Suresh","family":"Kumarasamy","sequence":"additional","affiliation":[{"name":"Center for Artificial Intelligence, Easwari Engineering College, Chennai 600089, Tamilnadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6485-4687","authenticated-orcid":false,"given":"Anitha","family":"Karthikeyan","sequence":"additional","affiliation":[{"name":"Department of Electronics and Communication Engineering, Vemu Institute of Technology, Chitoor 517112, Andhra Pradesh, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2993-7182","authenticated-orcid":false,"given":"Karthikeyan","family":"Rajagopal","sequence":"additional","affiliation":[{"name":"Center for Research, SRM Institute of Science and Technology-Ramapuram, Chennai 600089, Tamilnadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2024,8,15]]},"reference":[{"key":"S0218127424501359BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-28611-X"},{"key":"S0218127424501359BIB002","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.106.153901"},{"key":"S0218127424501359BIB003","doi-asserted-by":"publisher","DOI":"10.5194\/cp-9-57-2013"},{"key":"S0218127424501359BIB004","doi-asserted-by":"publisher","DOI":"10.3389\/fncom.2016.00030"},{"key":"S0218127424501359BIB005","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.111.198701"},{"key":"S0218127424501359BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-010-0358-4"},{"key":"S0218127424501359BIB007","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.56.1580"},{"key":"S0218127424501359BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2022.04.001"},{"key":"S0218127424501359BIB009","doi-asserted-by":"publisher","DOI":"10.3934\/environsci.2019.2.109"},{"key":"S0218127424501359BIB010","doi-asserted-by":"publisher","DOI":"10.3389\/fnins.2022.885322"},{"key":"S0218127424501359BIB011","doi-asserted-by":"publisher","DOI":"10.1038\/s41893-019-0397-9"},{"key":"S0218127424501359BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/S0006-3495(61)86902-6"},{"key":"S0218127424501359BIB013","doi-asserted-by":"publisher","DOI":"10.1007\/s11356-019-06039-4"},{"key":"S0218127424501359BIB014","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.101.065303"},{"key":"S0218127424501359BIB015","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127422500018"},{"key":"S0218127424501359BIB016","doi-asserted-by":"publisher","DOI":"10.1111\/btp.12309"},{"key":"S0218127424501359BIB017","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2003.820440"},{"volume-title":"Dynamical Systems in Neuroscience","year":"2007","author":"Izhikevich E. 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