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Bifurcation Chaos"],"published-print":{"date-parts":[[2025,6,30]]},"abstract":"<jats:p> In this paper, we study the FitzHugh\u2013Nagumo [Formula: see text]-fast\u2013slow system where the vector fields associated to the fast\/slow equations come from the reduction of the Hodgkin\u2013Huxley model for the nerve impulse. After deriving the dynamical properties of the singular and regular cases, we perform a bifurcation analysis and investigate how the parameters (of the affine slow equation) impact the dynamics of the system. The study of codimension-1 bifurcations and the numerical locus of canards concludes this case study. All theoretical results are numerically illustrated. <\/jats:p>","DOI":"10.1142\/s0218127425300174","type":"journal-article","created":{"date-parts":[[2025,5,8]],"date-time":"2025-05-08T13:51:02Z","timestamp":1746712262000},"source":"Crossref","is-referenced-by-count":2,"title":["Bifurcations and Canards in the FitzHugh\u2013Nagumo System: A Tutorial of Fast\u2013Slow Dynamics"],"prefix":"10.1142","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0009-0009-1879-3487","authenticated-orcid":false,"given":"Bruno F. 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