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

Aymen Balti | Zendy; Valentina Lanza | Zendy; M. A. Aziz-Alaoui | Zendy

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

Author(s) -

Aymen Balti,

Valentina Lanza,

M. A. Aziz-Alaoui

Publication year - 2018

Publication title -

mathematical biosciences and engineering

Language(s) - Uncategorized

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2018036

Subject(s) - harmonic balance , hodgkin–huxley model , base (topology) , nonlinear system , balance (ability) , harmonic , control theory (sociology) , computer science , mathematics , physics , mathematical analysis , artificial intelligence , physical medicine and rehabilitation , neuroscience , medicine , control (management) , quantum mechanics , biology

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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