Abstract: To address signal detection theory in communication, radar, sonar, fault diagnosis, and other restricted areas of application, put forward a random method of nonlinear Melnikov system and in weak signal noise signal cycle perturbation of the United chaotic motion, to be The cycle of weak signal and non-Gaussian noise signal smooth bounded joint perturbation of chaotic motion characteristics. Chaos and the amplitude of the critical relationship between the noise level shows that do not have a strong non-Gaussian smooth bounded noise, noise increases the incentive industry threshold, the chaos is not easy to produce.

Key words: non-Gaussion stable bounded noise, chaos, random Melnikov process