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中文摘要：
利用非线性理论-突变理论，通过煤与瓦斯延期突出的改进的尖点突变模型，对煤矿生产中石门揭煤后煤与瓦斯延期突出耦合灾变机理进行了理论分析，得出了瓦斯延期突出的突变机制和突变条件，为预测与防止煤与瓦斯延期突出灾害提供了重要的理论依据。
英文摘要：
The nonlinear theory-catastrophe theory is used to analyze the coupling catastrophe mechanism of coal and gas delay outburst after rock cross-cut coal uncovering in production of a coal mine by the improved cusp catastrophe model for coal and gas delay outburst. The mutation mechanism and condition are got, which provides important theoretical basis for forecasting and avoiding of coal and gas delay outburst in the field of the coal mine.
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