Research On Brittleness Of Complex System Based On Catastrophe Theory

The issues on the Research of Complex System's Brittleness Technology Theory has been ranked 2002's basis Science & Research of National Defence. It is a fire-new issues in systems engineering. It submits the concept of complex system's brittleness originally. The issues involves in system engineering and reliability theory and so on. It is very difficult to establish a new brittleness technology theory. The research of this article is only a part of it. The goal of this article is to make it preferable development and perfection.The quality of the objects in the various internal and external factors' interference will be worse, result in its function crashing. It is the researching goal of the theories related to brittleness.The major work of this article is to solve the problems of the complex system's brittleness based on catastrophe theory. In this article, I introduced complex system, brittleness and catastrophe theory separately in details.In the process of introducing complex system, we give the concept of complex system, method of judgement and method of description. In the process of giving method of judgement, we give the concept of the degree of complex and how to definite it. In the process of giving method of description, we take the method of compositive weight and introduce the method how to choose compositive weight.In the process of analysing the problems of brittleness, we give some basic concepts and one kind of method to predict the size of power of interference's motivating brittleness. We also give the standard of degree. In the process of predicting the size of power of interference's motivating brittleness, we introduce the principle of entropy and comentropy.In the process of introducing catastrophe theory, I descript its basic principle and combine it with the problem of brittleness at first time. At first, according to the description's method of complex system, I establish the potential function of brittleness. Following, I establish a series of concepts and theorems because of the potential function of brittleness. I do corresponding expounding and prov.The analysis and research of brittleness as a fire-new interdisciplinary is inneed of establishing one kind span-new philosophizing system. In this way, It not only is of spacious space of science &research's development, but also is of very large potential value of application in every region.In recent years, many scient men at home and abroad realize the importance of researching theirs brittleness in the researching the safety of complex system. But up to now, it is still at the starting stage. It is need of developing urgently. The research of this article is the precept in the solving the problem of complex system's brittleness. Our work can provide one kind of method of reference and a fire-new method of thinking in terms of images for the later people research these problems. Therefore, the outcome of the research of this article will be of speak volumes.