## A Parameter Transformation Method for the Solution of Nonlinear Electric Circuits and Systems Characterized by "large" Nonlinearities |

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analytic Bellman c0sT Chapter circuits and systems coefficient of cost conditions 2-30 convenience coordinate-stretching method cos3t cos5t cost and sinT cost be zero cycle der Pol's equation DIFFERENTIAL EQUATIONS book dT dT frequency gives increases steadily INTRODUCTION TO NONLINEAR lim sup limit-cycle responses linear differential equations nonlinear differential equations nonlinear electric circuits NONLINEAR OSCILLATIONS normal form numerical parameter obtained from 2-26 obviation of secular ORDINARY DIFFERENTIAL EQUATIONS OSCILLATIONS book parameter transformation parameter-transformation method pertinent initial conditions perturbation expansion perturbation method pf(u)du pf(y phase plane possesses a unique power series Q2sinT RELAXATION OSCILLATIONS requires sin3T sin3x sinx slowly-varying parameters method small-parameter methods solu solution of 2-11 solution of 3-129 solution of 3-97 solution of nonlinear solutions obtained Solving Substituting for yQ(T technique theorem tion unique limit-cycle solution Utilizing the initial Utilizing the pertinent Van der Pol's whereof yg(y yQ(x