Analytically determining frequency and amplitude of spontaneous alpha oscillation in Jansenʼs neural mass model using the describing function method

Xu Yao^{1, 2}, Zhang Chun-Hui¹, Niebur Ernst³, Wang Jun-Song^{1, †}

(color online) Effects of the model approximation errors on spontaneous oscillation in the NMM. (a) Analysis of the spontaneous oscillations in NMM with different model approximation errors of y₀. (b) Frequencies of the spontaneous oscillations with different model approximation errors of y₀. (c) Relative errors of the frequencies of the spontaneous oscillations with different model approximation errors of y₀, where Δ y 0 = y ^ − y 0 , and y ^ is the estimated amplitude of y₀.