IMCS/Publications/BASM/Issues/BASM n.1 (41), 2003/

A Lie algebra of a differential generalized FitzHugh-Nagumo system. (English)

Authors: Popa Mihail, Adelina Georgescu, Carmen Rocsoreanu


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 Aff3(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 Aff3(2,R)-orbits of which are of dimension 3. A dynamic bifurcation diagram is also presented.

State Agrarian University of Moldova
Mihail Popa
Institute of Mathematics and Computer Science
Academy of Science of Moldova
MD 2028 Chisinau,
Adelina Georgescu
University of Pitesti, Department of Mathematics
str. Tirgu din Vale, 1 ,
Pitesti, Romania
Carmen Rocsoreanu
University of Craiova
Department of Mathematics
str. A.I.Cuza, 13,
Craiova 1100, Romania


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