Abstract The following document showed the state space system that governs the behavior of the Wien Bridge, which is an electronic oscillator that generates sinusoidal waves, through an amplifier fed back by a bridge composed of four resistors and two capacitors. Through the simulations carried out, the existence of periodic orbits was verified when this system operates in a stable state. For this, the limit cycles were studied by being able to determine the origin of the periodic oscillation in the circuit in areas very close to the point of stability by means of the focus-center-limit cycle bifurcation presented in the Poincaré-Bendixon Theorem.