Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, Number 1, Pages 18–30 (Mi basm184)  
This article is cited in 1 scientific paper (total in 1 paper)

Research articles

A Lie algebra of a differential generalized FitzHugh–Nagumo system

Mihail Popaa, Adelina Georgescub, Carmen Rocşoreanuc

a Institute of Mathematics and Computer Science, Academy of Sciences of Moldova, Chişinău, Moldova
b University of Piteşti, Department of Mathematics, Piteşti, România
c University of Craiova, Department of Mathematics, Craiova, România
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Abstract: Some Lie algebra admissible for a generalized FitzHugh-Nagumo (F-N) system is constructed. Then this algebra is used to classify the dimension of the $Aff_3(2,R)$-orbits and to derive the four canonical systems corresponding to orbits of dimension equal to 1 or 2. The phase dynamics generated by these systems is studied and is found to differ qualitatively from the dynamics generated by the classical F-N system the $Aff_3(2,R)$-orbits of which are of dimension 3. A dynamic bifurcation diagram is also presented.
Keywords and phrases: Lie algebra, group, orbit, equilibria, phase dynamics, bifurcation.
Received: 17.10.2002
Bibliographic databases:
Document Type: Article
MSC: 34C14, 34C15, 34C23, 34A47
Language: English
Citation: Mihail Popa, Adelina Georgescu, Carmen Rocşoreanu, “A Lie algebra of a differential generalized FitzHugh–Nagumo system”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2003, no. 1, 18–30
Citation in format AMSBIB
\Bibitem{PopGeoRoc03}
\by Mihail~Popa, Adelina~Georgescu, Carmen~Roc{\c s}oreanu
\paper A~Lie algebra of a~differential generalized FitzHugh--Nagumo system
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2003
\issue 1
\pages 18--30
\mathnet{http://mi.mathnet.ru/basm184}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1992647}
\zmath{https://zbmath.org/?q=an:1050.34051}
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    • This publication is cited in the following 1 articles:
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    		Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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