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Catastrophe theory and its application status in mechanical engineering
Journal of Hebei University of Science and TechnologyCatastrophe theory is a kind of mathematical method which aims to apply and interpret the discontinuous phenomenon. Since its emergence, it has been widely used to explain a variety of emergent phenomena in the fields of natural science, social science ...
Jinge LIU +3 more
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, 2005 Catastrophe theory describes how small, continuous changes in control parameters (i.e., independent variables that influence the state of a system) can have sudden, discontinuous effects on dependent variables. Such discontinuous, jumplike changes are called phase-transitions or catastrophes.
Wagenmakers, E.J. +2 more
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Catastrophe Theory and Caustics [PDF]
SIAM 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.
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VARIATIONS OF THE ENERGY METHOD FOR STUDYING CONSTRUCTION STABILITY
Вестник Дагестанского государственного технического университета: Технические науки, 2017 Objectives. The aim of the work is to find the most rational form of expression of the potential energy of a nonlinear system with the subsequent use of algebraic means and geometric images of catastrophe theory for studying the behaviour of a ...
A. M. Dibirgadzhiev +2 more
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Landslide hazard assessment based on improved catastrophe theory
Zhongguo dizhi zaihai yu fangzhi xuebao, 2023 Landslide hazard assessment is an important part of landslide risk assessment, which is of great significance to landslide prediction and prevention. Analytic Hierarchy Process（AHP）, expert evaluation, fuzzy comprehensive evaluation and other methods ...
Rui ZHANG +3 more
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Catastrophic behavior of aphid population dynamics: An analysis of swallowtail model [PDF]
Computational Ecology and Software, 2014 Catastrophe phenomena are frequent in insect ecology, especially in aphid populations. Complexity of this phenomenon urges different modeling frameworks other than traditional methodologies to understand the trajectories of their behavior.
Mkdk Piyaratne +2 more
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How does financial theory apply to catastrophe-linked derivatives? En empirical test of several princing models [PDF]
, 1999 The paper focuses on the PCS Catastrophe Insurance Option Contracts and empirically tests the degree of agreement between their real quotes and the standard fmancial theory.
Balbás, Alejandro +2 more
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Catastrophe model in nonlinear dynamical systems and working groups
Lietuvos Matematikos Rinkinys, 2015 This paper employs catastrophe theory which analyzes changes in dynamical systems depending on two or more parameters at the same time. The main purpose of this work is to investigate the dynamics of the swallowtail catastrophe depending on the values of
Eglė Butkevičiūtė +2 more
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Imperfection-sensitivity analysis by using classical and catastrophe theory methods
Computer Assisted Methods in Engineering and Science, 2023 Comparison of the classical methods and the tools of the catastrophe theory is presented through the imperfection-sensitivity analysis of the classical stable-symmetric bifurcation problem.
Marta Kurutz, Zsolt Gáspár
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Analysis on catastrophe effect of political risk diffusion on multinational oil and gas pipelines
You-qi chuyun, 2021 With more energy imported by China, the business on construction and operation of multinational oil and gas pipelines is increasing rapidly. The unique political attributes of multinational oil and gas pipelines are likely to bring about complicated and ...
Humiao QIU, Xiaozhong YU
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