Authors: Cristina Nartea
Abstract
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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