Based on non-linear science and Weibull distribution, 3 new indexes and a new comprehensive prediction method are proposed and studied in the project 85-04-01-05. Some old indexes and comprehensive prediction methods are also studied for shortening the prediction period.
The earthquake prediction takes various time sequence data as its basis, so how to collect the complexity features describing the earthquake-preparedness process from a great number of time sequence becomes an important research field of non-linear science angle in searching for earthquake prediction.
The best way to extricate ourselves from the dilemma would be a comprehensive research by multi scale,multidisciplinary and macro microcosmic approaches,and trying to discover the trigger point and threshold of the catastrophic event based on the 3S and entomological radar techniques and nonlinear sciences.
This paper reviewed present situation of mathematical geology, analysed position and action of nonlinear sciences in mathematical geology, according to fractal structure and chaos character of geological data, discussed the ways of application nonlinear sciences to mathematical geology.
The problem of Turing pattern formation has attracted much attention in nonlinear science as well as physics, chemistry and biology.
It is also an attempt to apply the state-of-the-art nonlinear science to the classical sediment transport mechanics.
Wavelets is a very effective technique for time-frequency analysis with the ability of preserving local information, applied to many areas such as nonlinear science, information processing, quantum physics etc.
Using the view point of nonlinear science and the method of selecting numerical features of pattern recognition for reference, the physical and numerical features of precursory ground tilt data are synthetically employed.
In a prior work [Cantero-Alvarez and Otto, Journal of Nonlinear Science], we showed that there are four regimes for nucleation.