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Research on basic characteristics of complex system brittleness

Journal of Marine Science and Application 2004年第1期3卷 57-63页

作者： jinhong-zhang guojian weiqi linde-ming liqi SchoolofAutomation HarbinEngineeringUniversityHarbin150001China

The goal of this paper is to research one new characteristic of complex system. Brittleness, which is one new characteritic of complex system, is presented in this paper. The linguistic and qualitative descriptions of complex system are also given in this paper. Otherwise, the qualitative description of complex system is presented at first. On the basis of analyzing the existing brittleness problems, linguistic description and mathematic description of brittleness are given as well. Three kinds of phenomena to judge brittleness of complex system are also given, based on catastrophe theory. Basic characteristics of brittleness are given on the basis of its mathematic description. Two critical point sets are defined by using catastrophe theory. The definition of brittleness and its related theory can serve the control of complex system, and provide theoretical basis for the design and control of complex system.

关键词： brittleness complex system criterion basic characteristic catastrophe theory

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The brittleness model of complex system based on cellular automata

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Journal of Marine Science and Application 2004年第2期3卷 69-72页

作者： linde-ming jinhong-zhang liqi WUHong-mei SchoolofAutomation HarbinEngineeringUniversityHarbin150001China

Now the research on the complex system is a hot spot. Brittleness is one of the basic characteristics of a complex system. In a complex system, after one of subsystems is struck to be collapsed, the whole system will collapse. Meanwhile, cellular automata is a discrete dynamic system. When the rule is given, the cellular automata could be defined. Then it can imitate the complex action. Cellular automata is used to simulate the brittleness action in this study. Entropy was used to analyze the action and get the rule. Then,three normal brittleness models were given. The result shows that the brittleness of complex system is existent and in addition some important behavior mode of complex system brittleness has been achieved.

关键词：复杂系统细胞自动机脆性熵破裂

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