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Dc-dc converters have been reported as exhibiting a wide range of bifurcations and chaos under certain conditions. In this study, the analysis of bifurcation in a peak current-controlled single-ended primary inductance converter (SEPIC) topology operating in the continuous conduction mode is performed and is compared with the hysteretic current mode control. The stability of the system is analysed by varying the reference current. The locii of the complex eigenvalues and the characteristic multipliers indicate that the one-periodic orbit loses its stability via period-doubling bifurcation. A hysteretic current-controlled SEPIC converter that uses the sum of the two inductor currents as a control variable is discussed. The operation states of the converter are studied based on the theory of sliding mode control. A computer simulation using MATLAB/SIMULINK confirms the predicted bifurcations and the experimental results show that stable periodic operation is obtained for a wide variation in parameter.