Brittleness Theory Of Complex System And Its Frame

With the development of social economy and science and technology, the research on the complex system meet many demands at present.In this paper, complex system is chosen as the research object, which is characterized not only by openness, complexity, giant, evolution and emergence, hierarchy but also by brittleness. Brittleness is presented as one of the basic characteristics of complex system for the first time. Moreover, it is existent objectively as the basic characteristic of complex system. Based on the definition, peculiarities, and models of brittleness, concepts and theories about brittleness of complex system have been establishedFirstly, research has been carried out on the definition and peculiarities of brittleness. Brittleness comes from the term in the field of material science, which is defined and applied to the research on the characteristics of the complex system. Brittleness emphasizes on the collapsed chain effect that is triggered by the collapse of one subsystem and will result in the breakdown of whole complex system. On the basis of its definition, peculiarities of brittleness have been analyzed. They are recessive, concomitance, diverse representations of results, catastrophic and serious results, non-cooperative game between subsystems being one source of brittleness, chain effect, delay effect, represented from the angle of whole system. Then the whole frame of researching brittleness has been established.Secondly, I ameliorate the definition of brittleness, and give common mathematic description of the brittleness. Set up some familiar brittleness model applying the cellular automation, and explain the brittleness process. Then analyze the brittleness unit that is made of the brittle source, brittle receiver and brittle action. Finally regard the diffusion of an infectious disease as the example, and apply cellular automation to simulate the evolvement of complex system brittleness. brittle sources of complex systems have been analyzed by the means of independent component analysis and brittle elements. The principle of independent component analysis algorithm is to find the mutual independent underlying components, to remove the higher-order redundant between components and to extract the independent original signals according to the analysis of higher-order statistical relationships among the multidimensional observed data. Finally, we take coal mines of town and stated owned as examples and carry out...