Abstract: In this paper,the day-to-day sequence of the total ozone of 5°N zonal average measured by TOMS is opened up in the phase space,so that the characteristics of the ozonosphere can be described by phase locus.First of all,the fractional dimension of system attractor of the ozonosphere is computed.Then regarding the phase points as the set of special discretion solutions to the dynamic system,the realistic controlled parameters retrieving to the mathematical model which is used to describe the state of system evolution with time are inverted,and the nonlinear dynamic system of which reflected the evolution characteristic fo ozonosphere over tropical area in short periods are est up.