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Fitting the Cusp Catastrophe in R: A cusp Package Primer [PDF]
Journal of Statistical Software, 2009 Of the seven elementary catastrophes in catastrophe theory, the “cusp” model is the most widely applied. Most applications are however qualitative. Quantitative techniques for catastrophe modeling have been developed, but so far the limited availability ...
Raoul P. P. P. Grasman +2 more
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Roadway rock burst prediction based on catastrophe theory [PDF]
Scientific ReportsIn 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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Catastrophe control of aphid populations model
Mathematical Biosciences and Engineering, 2022 Considering the effect of the natural enemy on aphid populations, the corresponding model with delay is built. The model is analyzed using the qualitative theory of differential equations and catastrophe theory etc.
Lichun Zhao +4 more
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Research on the Traffic Flow Control of Urban Occasional Congestion Based on Catastrophe Theory
Journal of Advanced Transportation, 2021 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]
Kirkuk Journal of Science, 2023 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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Pricing catastrophe reinsurance under the standard deviation premium principle
AIMS Mathematics, 2022 Catastrophe reinsurance is an important way to prevent and resolve catastrophe risks. As a consequence, the pricing of catastrophe reinsurance becomes a core problem in catastrophic risk management field. Due to the severity of catastrophe loss, the Peak
Wen Chao
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Realizing stock market crashes: stochastic cusp catastrophe model of returns under the time-varying volatility [PDF]
, 2013 This paper develops a two-step estimation methodology, which allows us to apply catastrophe theory to stock market returns with time-varying volatility and model stock market crashes.
Barunik, Jozef, Kukacka, Jiri
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Journal of Advanced Transportation, 2022 —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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工程科学学报, 2023 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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