He linked the model to catastrophe theory in A.T. Winfree, "Exploratory Data Analysis: Published Records of Uncued Human Sleep-Wake Cycles," in "Mathematical Models of the Circadian Sleep-Wake Cycle," edited by M.C.
In addition, an energy model using catastrophe theory to obtain the instability criteria of system was established to study the interaction between backfill and rock mass, and then the system instability criterion was deduced.
Most of the existing models for catastrophe risk assessment consume huge amounts of time and are costly to use, so are more commonly applied for assessment at high-value facilities (such science-based industrial parks), rather than by the tourism industry, where economic factors are of greater concern.
Undoubtedly this would be useful, but this kind of modeling cannot be termed "catastrophe" modeling and cannot provide holistic quantification of the agricultural risk for the public sector and for insurance (as discussed at the beginning of this section).
This paper demonstrates the possibility of developing a pro-active network screening tool that estimates the crash rate using a stochastic cusp catastrophe model with the two-fluid model's parameters as inputs.
Combing the effects of both the ratio and throttle coefficient, the hysteresis behaviors of compressor stall under multi-parameters can be found to be consistent with the topological properties of cusp catastrophic model by Thom's catastrophe theory.
We conclude that the catastrophe model has more actual and instructive importance compared to the traditional model.
An important finding is that the catastrophic characteristic index D (i.e., the bifurcation set of the cusp catastrophe model) drastically increases to a high peak value and then quickly drops close to instability.
The paper investigates the analogy in logic behind the two-fluid model and the catastrophe model using straightforward graphical illustrations.
The catastrophe model takes into consideration two possible situations of a slope being in the limit equilibrium condition, i.e., it may or may not slip.
