Further results on approximate inertial manifolds for the FitzHugh-Nagumo model

Simona Cristina Nartea, Adelina Georgescu


For two particular choices of the three parameters in the FitzHugh-Nagumo model the equilibrium points are found. The corresponding phase portrait around them is graphically represented allowing us to delimit an absorbing domain. Then the Jolly-Rosa-Temam numerical method is applied in order to study the approximate inertial manifold for the model. To this aim the own numerical code of the first author is used.

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DOI: http://dx.doi.org/10.1478/C1A0902001

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