Factual Revelation of Temporal and Spatial Hierarchical Correlations by Structural Function Curvature Analysis Method

Abstract

Basics of structural function curvature analysis method (SFCAM) are described shortly and three examples of SFCAM application are described: for revelation of earthquake predictors, surface relief analysis and surface relief evolution description. Discussion is carried out in terms of correlation times (CT) or correlation lengths (CL), respectively to the type of experimental data -time series or surface reliefs. CTs or CLs can be taken into account in two ways: by an order of their recognition, from the shortest to the greatest, or by separation over previously determined classes due to physical sense of investigated structure. On the whole, SFCAM represent a subtle enough tool for analysis of complex hierarchical systems.