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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

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 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,
E-mail:
Adelina Georgescu
University of Pitesti, Department of Mathematics
str. Tirgu din Vale, 1 ,
Pitesti, Romania
E-mail:
Carmen Rocsoreanu
University of Craiova
Department of Mathematics
str. A.I.Cuza, 13,
Craiova 1100, Romania
E-mail:

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