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 SM ISO690:2012NARTEA, Cristina. Computation of inertial manifolds in biological models. FitzHugh-Nagumo model. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2007, nr. 3(55), pp. 102-110. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 3(55) / 2007 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 102-110 | ||||||
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Inertial manifolds are related to the large time behaviour of dynamical systems. An algorithm, based on the Lyapunov-Perron method, is implemented here and used to construct a sequence of approximate inertial manifolds for a biological model. The hypotheses of the Jolly, Rosa, Temam’s algorithm are verified for the FitzHugh-Nagumo model in the case of real eigenvalues. This algorithm is used for the construction of approximate inertial manifolds. |
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| Cuvinte-cheie Inertial manifolds, Lyapunov-Perron method, biological model, FitzHugh-Nagumo model., dynamical systems |
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