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J. Bifurcation Chaos"],"published-print":{"date-parts":[[2025,9,30]]},"abstract":"<jats:p> The three-dimensional Muthuswamy\u2013Chua\u2013Ginoux (MCG) circuit system based on a thermistor is a generalization of the classical Muthuswamy\u2013Chua circuit differential model. In this paper, the Jacobi stability of the MCG circuit system is analyzed by using the Kosambi\u2013Cartan\u2013Chern (KCC) theory. First, we reformulate the MCG system as a set of two second-order nonlinear differential equations. The geometric invariants associated to this system (nonlinear and Berwald connections), and the deviation curvature tensor, as well as its eigenvalues, are explicitly obtained. The Jacobi stability of the MCG system at an equilibrium point and two periodic orbits is investigated in terms of the eigenvalues of the deviation curvature tensor. The obtained results show that the origin is Jacobi unstable, and the two periodic orbits of the MCG system are also proved to be Jacobi unstable. Finally, we discuss the dynamical behavior of the components of the deviation vector near the equilibrium point. <\/jats:p>","DOI":"10.1142\/s0218127425501408","type":"journal-article","created":{"date-parts":[[2025,7,8]],"date-time":"2025-07-08T06:41:05Z","timestamp":1751956865000},"source":"Crossref","is-referenced-by-count":0,"title":["Jacobi Stability of the Muthuswamy\u2013Chua\u2013Ginoux Circuit System"],"prefix":"10.1142","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-6496-5197","authenticated-orcid":false,"given":"Xinyu","family":"Wang","sequence":"first","affiliation":[{"name":"LMIB\u2013School of Mathematical Sciences, Beihang University, Beijing 100191, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0009-3989-4092","authenticated-orcid":false,"given":"Xiao","family":"Wen","sequence":"additional","affiliation":[{"name":"LMIB\u2013School of Mathematical Sciences, Beihang University, Beijing 100191, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0541-0562","authenticated-orcid":false,"given":"Bo","family":"Huang","sequence":"additional","affiliation":[{"name":"LMIB\u2013School of Mathematical Sciences, Beihang University, Beijing 100191, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1878-3547","authenticated-orcid":false,"given":"Faguo","family":"Wu","sequence":"additional","affiliation":[{"name":"LMIB\u2013School of Artificial Intelligence, Beihang University, Beijing 100191, P.\u00a0R.\u00a0China"},{"name":"Beijing Advanced Innovation Center for Future Blockchain and Privacy Computing, Beihang University, Beijing 100191, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2025,7,8]]},"reference":[{"key":"S0218127425501408BIB001","doi-asserted-by":"publisher","DOI":"10.4310\/ATMP.2012.v16.n4.a2"},{"key":"S0218127425501408BIB002","doi-asserted-by":"publisher","DOI":"10.1063\/1.4729135"},{"key":"S0218127425501408BIB003","doi-asserted-by":"publisher","DOI":"10.1007\/BF01474603"},{"key":"S0218127425501408BIB004","first-page":"206","volume":"63","author":"Chern S.","year":"1939","journal-title":"Bull. 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