A multi-base harmonic balance method applied to Hodgkin-Huxley model - Archive ouverte HAL Access content directly
Journal Articles Mathematical Biosciences and Engineering Year : 2018

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.

Dates and versions

hal-02047804 , version 1 (25-02-2019)

Identifiers

Cite

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⟩
26 View
0 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More