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

ClassType-A NAMType-B NAMOscillation Condition πœ” O Adjoint class

I  𝐺 1 βˆ’ 𝐺 4 𝐺 3 βˆ’ 𝐺 2 0 ξ‚„  𝐺 1 βˆ’ 𝐺 4 βˆ’ 𝐺 3 𝐺 2 0 ξ‚„ 𝐺 4 = 𝐺 1 πœ” O = √ G 2 G 3 / C 1 C 2 I-Ad
I-Ad  𝐺 1 βˆ’ 𝐺 4 βˆ’ 𝐺 2 𝐺 3 0 ξ‚„  𝐺 1 βˆ’ 𝐺 4 𝐺 2 βˆ’ 𝐺 3 0 ξ‚„ 𝐺 4 = 𝐺 1 πœ” O = √ G 2 G 3 / C 1 C 2 I
II  𝐺 1 βˆ’ 𝐺 2 βˆ’ 𝐺 3 𝐺 2 0 ξ‚„  𝐺 1 βˆ’ 𝐺 2 𝐺 3 βˆ’ 𝐺 2 0 ξ‚„ 𝐺 2 = 𝐺 1 πœ” O = √ G 2 G 3 / C 1 C 2 II-Ad
II-Ad  𝐺 1 βˆ’ 𝐺 2 𝐺 2 βˆ’ 𝐺 3 0 ξ‚„  𝐺 1 βˆ’ 𝐺 2 βˆ’ 𝐺 2 𝐺 3 0 ξ‚„ 𝐺 2 = 𝐺 1 πœ” O = √ G 2 G 3 / C 1 C 2 II