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 SM ISO690:2012POPA, Mihail, GEORGESCU, Adelina, ROCSOREANU, Carmen. A Lie algebra of a differential generalized Fitz Hugh–Nagumo system. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, nr. 1(41), pp. 18-30. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 1(41) / 2003 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 18-30 | ||||||
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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
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.
Mathematics subject classification: 34C14, 34C15, 34C23, 34A47. |
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