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(a) The schematic illustration of the gyrator-based circuit with the ideal gyrator in parallel configuration. In this circuit, two different LC resonators are used in a parallel configuration, coupled via an ideal gyrator. The sensitivity of the (b), (d), (f) real and (c), (e), (g) imaginary parts of the eigenfrequencies to (b), (c) gyration resistance, (d), (e) positive capacitance C1 (f), (g) positive inductance L1 perturbation. Solid lines: solution of eigenvalue problem of equation (18); green-dashed lines: Puiseux series approximation truncated to its second term. Voltage v1 (t) under the EPD condition in the (h) time-domain, and (i) frequency-domain. The frequency-domain result is calculated by applying an FFT with 106 samples in the time window of 0 μs to 100 μs. (j) Root locus of zeros of Ytotal (ω) = 0 showing the real and imaginary parts of resonance frequencies of the circuit when perturbing gyration resistance. At the EPD, the system's total admittance is Ytotal (ω) ∝ (ω − ωe) 2; hence it shows a double zero at ωe.
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