The main trend of some blowup systems is disturbed by logperiodic oscillations infinitely accelerating when approaching the blowup point. Explanation of such behavior typical e.g. for seismic and economic phenomena could give an insight into the nature of blowup point rising in this case as the condensation of constant phase points of oscillations. This viewpoint is a particular case of the more general approach that treats not oscillations as a disturbance of the growing trend, but the trend itself as a result of oscillatory process.