Table 1: A summary of the parameters of the two classes of oscillators.

ClassType-A NAMType-B NAMOscillation Condition 𝜔 O Adjoint class

I 𝐺 1 𝐺 4 𝐺 3 𝐺 2 0 𝐺 1 𝐺 4 𝐺 3 𝐺 2 0 𝐺 4 = 𝐺 1 𝜔 O = G 2 G 3 / C 1 C 2 I-Ad
I-Ad 𝐺 1 𝐺 4 𝐺 2 𝐺 3 0 𝐺 1 𝐺 4 𝐺 2 𝐺 3 0 𝐺 4 = 𝐺 1 𝜔 O = G 2 G 3 / C 1 C 2 I
II 𝐺 1 𝐺 2 𝐺 3 𝐺 2 0 𝐺 1 𝐺 2 𝐺 3 𝐺 2 0 𝐺 2 = 𝐺 1 𝜔 O = G 2 G 3 / C 1 C 2 II-Ad
II-Ad 𝐺 1 𝐺 2 𝐺 2 𝐺 3 0 𝐺 1 𝐺 2 𝐺 2 𝐺 3 0 𝐺 2 = 𝐺 1 𝜔 O = G 2 G 3 / C 1 C 2 II