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

Abstract : 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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https://hal-normandie-univ.archives-ouvertes.fr/hal-02047804
Contributor : Valentina Lanza <>
Submitted on : Monday, February 25, 2019 - 11:26:00 AM
Last modification on : Wednesday, July 24, 2019 - 4:25:41 PM

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

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