An Algebraic Criterion of Zero Solutions of Some Dynamic Systems

Figure 1

Two phase-locked oscillations: 𝑥₁(𝑡)=𝑥₂(𝑡+𝑃_𝑇/3)=𝑥₃(𝑡+2𝑃_𝑇/3), 𝑦₁(𝑡)=𝑦₂(𝑡+𝑃_𝑇/3)=𝑦₃(𝑡+2𝑃_𝑇/3).

(a)

(b)