A ring strongly coupled Lorenz-like oscillators is constructed to identify the Gaussian pulse signals similar to the weak Coulter signals. The Coulter signals generated by particles whose sizes belong to [10μm, 60μm] are calculated through the Wheatstone bridge principle, and the Gaussian pulse signals are used to fit these signals. The dynamics of the oscillators are explored by using the nonlinear analysis method. The white Gaussian noise is used to fit the noise in the measurement and make it annihilate the Gaussian pulse signals. Then the test signals composed of these weak Gaussian pulse signals and white Gaussian noise are added to the oscillators, and continuous synchronization mutation phenomena are analyzed. After the amplification factor is introduced, the weak pulse signals can be detected by using the maximum values of these phenomena in the periodic or chaotic oscillators. The nonlinear circuit of the oscillators is made, and experiments on detection of Gaussian pulse signals annihilated in noise with different amplitudes and frequencies are carried out. The proposed method can effectively detect weak pulse signals, which has made a useful exploration for the detection of Coulter signals annihilated in noise.