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Nonlinear Circuits Without EnergyStorage Elements
Some Useful Mathematical Methods
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amplitude analysis angular velocity assumed asymptotic stability capacitor chapter characteristic roots circuit of Fig coefficients complex computation procedure conjugate consider constant convenient cosine current approximation derivative determined differential equation diodes discussion driving frequency driving function driving voltage electrical equivalent circuit equivalent linear example experimental exponential feedback flux linkages Fourier series given harmonics illustrated in Fig incremental initial conditions input integral iterative Laplace transform limit cycle limit point linear element linear network linear system loop mathematical method negative nonlinear circuits nonlinear element nonlinear inductance nonlinear network nonlinear resistance nonlinear systems obtained operational amplifier operator orbital stability oscillation output voltage parameter particular periodic motion perturbation phase plane phase portrait phase space plate plot Pol's equation possible problem relaxation oscillation represents resistor result shown in Fig simply sinusoidal solution curve solve Step subharmonic Substituting Eqs theorem time-varying tion unstable vacuum tube variables volt-ampere characteristic waveform written zero