Studying the relationship of brittleness of system and self-organized criticality. Bring the viewpoint that system is in the state of self-organized criticality when brittleness being motivated.
研究了系统脆性与自组织临界性间的关系，提出了系统脆性激发时系统处于自组织临界态的观点。
Based on the catastrophe theory, static bifurcation theory and singularity theory, to research the brittleness problems of complex system.
以突变理论、静态分叉理论、奇异性理论等为基础，对复杂系统的脆性问题进行了深入的研究。
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.
复杂系统脆性重点强调崩溃的连锁效应，即由于复杂系统中的某一子系统的崩溃，引发的连锁的崩溃效应，会使整个复杂系统崩溃。
Moreover, non cooperative game theory is imported to meet the need of the further research on the brittleness of complex system.
同时，将非合作博弈的理论和方法引入到复杂系统的脆性的研究中。
Secondly, Based on the research of complex system, brittleness as one of the basic characteristics has been presented and argued for the first time.
其次，在对复杂系统的研究的基础之上，首次提出脆性是复杂系统的一个基本特性。
Based on the theory of set pairing and the brittleness character of complex system, the brittle link between the subsystems was defined.
由复杂系统的脆性特点，依据集对分析理论，定义了子系统间的脆性联系。
The collapse brittleness of complex system was studied using the noncooperative game theory to provide theoretical basis for control of complex systems.
同时将非合作博弈的理论和方法引入到复杂系统崩溃的脆性的研究中，指出子系统之间的非合作博弈是复杂系统脆性的一个根源。
There is hierarchical structure in complex system. In this paper, we analyze the brittleness of complex system with the Fuzzy Analytic Hierarchy Process (FAHP).
由于复杂系统具有层次结构，本文采用模糊层次分析法(FAHP)对复杂系统进行了脆性分析。
After defining concepts of brittleness, brittle link entropy, and basic element, non-cooperative game theory and its usefulness in research on the brittleness of a complex system were explored.
在界定概念的脆性，脆性联系熵的基本要素，非合作博弈理论在研究一个复杂系统的脆性以及它的实用性进行了探讨。
The brittleness theory of complex system is applied to the study of disasters of the Yellow River for the first time.
将复杂系统的脆性理论引用到黄河灾害的研究。
Without available control, the entire society system will become out-of-order, finally it will be (collapsed, ) which is the brittleness of complex system.
在没有控制的情况下，整个复杂系统的有序状态将会被破坏，最终崩溃，这就是复杂系统的脆性。
Without available control, the entire society system will become out-of-order, finally it will be (collapsed, ) which is the brittleness of complex system.
在没有控制的情况下，整个复杂系统的有序状态将会被破坏，最终崩溃，这就是复杂系统的脆性。
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