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Roadway rock burst prediction based on catastrophe theory [PDF]
In order to quantitatively calculate the critical depth and critical load of mines affected by rock burst, and to achieve effective prevention and control of rock burst in coal mines, this paper proposes a mechanical model for predicting the occurrence ...
Wang Pan, Gu Shuan-Cheng, Sun Wei
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Risk Assessment and Hierarchical Risk Management of Enterprises in Chemical Industrial Parks Based on Catastrophe Theory [PDF]
Guobao Song
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Research on the Traffic Flow Control of Urban Occasional Congestion Based on Catastrophe Theory
Aimed at the problem of occasional congestion control, the cusp catastrophe theory is used to establish the catastrophe model of the urban road system under occasional congestion, finding breakpoints and analyzing stability after urban road system ...
Yang Xu +4 more
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On the Butterfly Catastrophe Model and Stability of Finite Periodic Solutions for Some Non-Linear Differential Equations [PDF]
In this work, we find the results for the folded part projection of the butterfly catastrophe model onto the control space, using methods from catastrophe theory to obtain stability and the catastrophic behavior of finite periodic solutions for some non ...
Isam R. Faeq
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Sudden transition is a widely existing phenomenon in engineering practice. When the state of the system experiences sudden abrupt transition, calculus-based traditional mathematical modeling methods has low accuracy.
Ming ZHANG +6 more
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Fold catastrophe analysis of constitutive model of pick cutting coal with rock
Considering the failure mechanism of pick cutting coal & rock, combined with the cutting load test, the single pick load of cutting coal & rock is obtained and analyzed, based on the load of single coal & rock caving load change process in ...
Chenxu Luo +4 more
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—The state of urban road traffic flow shows discontinuity and jumping phenomenon in the process of running. There was a data gap in the collected traffic flow data.
Yanguo Huang +3 more
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Catastrophe Theory and Caustics [PDF]
In this paper it is shown by elementary methods that in codimension two and under the assumption that light rays are straight lines, a caustic is the catastrophe set for a timefunction. The general case is also discussed.
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Many negative reactions to Catastrophe Theory have been triggered by overly simplistic applications unintended and unsuited for statistical-econometric estimation, inference, and testing.
Emilio Casetti
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