“…In this paper, the method has been applied to certain nonlinear RLC circuit systems that are closely related to nonlinear oscillation [7], electronic theory (the differential equation of self-excited oscillation of an electronic triode [8]), and Lienard and Van der Pol equations. One can find some beautiful works in the literature discussing the stability (instability) behavior of circuit systems, such as Lyapunov stability for nonlinear descriptor systems [9], the global qualitative behavior of the double scroll system [10], chaos in the Colpitts oscillator due to positive Lyapunov exponents [11], unstable behavior of Hartley's oscillator because of the positive real parts of the eigenvalues of the Jacobian matrix of the system [12], and the global asymptotic stability (GAS) of the synchronization of Vilnius chaotic systems (using active and passive controls) determined by Lyapunov's direct method [13]. Moreover, some recent works have been done on the various behaviors of nonlinear RLC circuit systems: the existence of solutions [14], implicit solutions [15], power shaping [16], passivity and power-balance inequalities [17], and so on.…”