Open AccessA 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 , harmonic , balance (ability) , control theory (sociology) , mathematics , computer science , mathematical analysis , physics , artificial intelligence , medicine , control (management) , quantum mechanics , neuroscience , physical medicine and rehabilitation , 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.