@inproceedings{b40318990adf4eafbb37e2e747ac408e,

title = "The stability of boiling water reactors as a catastrophe phenomenon",

abstract = "The stability of boiling water reactors (BWRs) is revisited in terms of catastrophe theory. The hypothesis is proposed that the stability parameter (decay ratio) of a complex, many-variable non-linear system might obey a cusp catastrophe. The incentive for this surmise comes from indications in real measurements that in certain cases the decay ratio appears to behave discontinuously and might show a hysteresis as a function of the control parameters reactor power and coolant flow. Such observations can be explained by a phenomenological catastrophe model suggested in this article. Since a cusp-type behaviour implies that the decay ratio is many-valued in a certain region of the power-flow map, a mechanism is suggested how a Hopf bifurcation with multiplicative noise can lead to such a behaviour.",

keywords = "BWR, Catastrophe theory, Stability",

author = "I. P{\'a}zsit and V. Dykin and H. Konno and T. Kozlowski",

year = "2015",

language = "English (US)",

series = "Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015",

publisher = "American Nuclear Society",

pages = "763--774",

booktitle = "Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015",

note = "Mathematics and Computations, Supercomputing in Nuclear Applications and Monte Carlo International Conference, M and C+SNA+MC 2015 ; Conference date: 19-04-2015 Through 23-04-2015",

}