Results 1 to 10 of about 7,382 (153)

Roadway rock burst prediction based on catastrophe theory [PDF]

open access: yesScientific Reports
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
doaj   +2 more sources

Research on the Traffic Flow Control of Urban Occasional Congestion Based on Catastrophe Theory

open access: yesJournal 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
doaj   +1 more source

On the Butterfly Catastrophe Model and Stability of Finite Periodic Solutions for Some Non-Linear Differential Equations [PDF]

open access: yesKirkuk 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
doaj   +1 more source

A two-step method for cusp catastrophe model construction based on the selection of important variables

open access: yes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
doaj   +1 more source

Fold catastrophe analysis of constitutive model of pick cutting coal with rock

open access: yesEnergy Reports, 2022
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
doaj   +1 more source

An Analysis of the Catastrophe Model and Catastrophe Characteristics of Traffic Flow Based on Cusp Catastrophe Theory

open access: yesJournal 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
doaj   +1 more source

Catastrophe Theory and Caustics [PDF]

open access: yesSIAM Review, 1983
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.
openaire   +1 more source

Catastrophe models and the expansion method: A review of issues and an application to the econometric modeling of economic growth

open access: yesDiscrete Dynamics in Nature and Society, 1997
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
doaj   +1 more source

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