Topic: fixed point analysis

The Matsuoka oscillator model is a neuronal network model which exhibits oscillatory activities due to adaptation property of each neuron and mutual inhibitions between neurons (Matsuoka, 1985; 1987). This is often used to model oscillatory neuronal circuits in the spinal cord called central pattern generators (CPGs) and to simulate biological locomotion such as human bipedal walking (Taga et al., 1991; Ogihara & Yamazaki, 2001). However, most previous studies have overlooked its convergent dynamics toward stationary states, corresponding to transient neuronal activities and non-oscillator