Balti Aymen, Lanza Valentina, Aziz-Alaoui Moulay
Normandie Univ, UNIHAVRE, LMAH, FR-CNRS-3335, ISCN, 76600 Le Havre, France.
Math Biosci Eng. 2018 Jun 1;15(3):807-825. doi: 10.3934/mbe.2018036.
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.
我们的目标是提出一种新的稳健且易于管理的技术,称为多基谐波平衡法,用于检测和表征非线性动力系统的周期解。我们的案例测试是霍奇金 - 赫胥黎模型,它是文献中最逼真的神经元模型之一。该系统根据外部刺激电流的值,呈现出稳定和不稳定的周期解。