A multi-base harmonic balance method applied to Hodgkin-Huxley model - Laboratoire de Mathématiques Appliquées du Havre
Article Dans Une Revue Mathematical Biosciences and Engineering Année : 2018

A multi-base harmonic balance method applied to Hodgkin-Huxley model

Résumé

Our aim is to propose a new robust and manageable technique, called multi-base harmonic balance method, to detect and characterize the periodic solutions of a nonlinear dynamical system. Our case test is the Hodgkin-Huxley model, one of the most realistic neuronal models in literature. This system, depending on the value of the external stimuli current, exhibits periodic solutions, both stable and unstable.
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hal-02047804 , version 1 (04-06-2024)

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Aymen Balti, Valentina Lanza, Moulay Aziz-Alaoui. A multi-base harmonic balance method applied to Hodgkin-Huxley model. Mathematical Biosciences and Engineering, 2018, 15 (3), pp.807-825. ⟨10.3934/mbe.2018036⟩. ⟨hal-02047804⟩
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