This paper takes ignition and quenching phenomena of a dust-cloud explosion system as an example to illustrate that application prospect of catastrophe theory in dust explosion science. Through comparative study on catastrophe dynamics of a dust-cold explosion system under different heat loss models, the significance of catastrophe dynamics of radiation effect in igniting behavior of a dust explosion system is indicated. It is also pointed out that a sim- plified representation of igniting process model many possible change catastro- phe set's topological structure and stationary state structure of a dust explosion system, and therefore may have an important influence on realizing igniting process laws. The statement may be useful for understanding many other dis- continuity phenomena widely existent in objective world system.
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