критические явления

BLOW­UP WITH COMPLEX EXPONENTS. LOG­PERIODIC OSCILLATIONS IN THE DEMOCRATIC FIBER BUNDLE MODEL

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.