To research the relationship between human (animal) behavior and electroencephalogram, put forward a method based on exploratory analysis, gathering mice electroencephalogram and respiratory signals in sleep state, using exploratory modeling, building a linear time invariant multiresolution model of transmission system , then adopting exploratory analysis from the time domain and frequency domain under sleep state .Experiments show that the electroencephalogram signal can control respiration, respiratory signals can also affect electroencephalogram rhythms, electroencephalogram rhythms and respiratory signal has correlativity.