On the problem of studies of geomorphic systems stability

Abstract

Once the terms «geomorphic system stability» and «geomorphic system's state stabiLity» have been introduced and defined, mathematical techniques of the catastrophe's theory can be applied to the geomorphic processes study. It permits to construct mathematical models of situations connected with morphogenesis regimes transformation (the possibility is illustrated by the case of the sheet wash transformed into the linear erosion process) and to approach the problem of forecasting the extreme events in the relief's evolution.