A New Detecting System Based On Chaotic Oscillator

The paper mainly constructs a new detecting system based on chaotic oscillator, that is,the nonlinear term of duffing equation includes(-x~5 +x~7).The posedness of its periodic solution is proved by the T.Yoshizawa theorem.Through scientific analysis and numerical simulation,the critical values of different states are determined by Melnikov method and Lyapunov exponent,which provide the scientific basis for weak sinusoidal signal detection.And,we find that the system has high sensitivity and low signalnoise ratio on the weak sinusoidal signal detection.It provides possibility for weaker sinusoidal signal detection.