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The article discusses the applicability of the theory of disasters and nonlinear dynamics in predicting the systemic risks of managing the digital economy and Internet of things systems. One of the approaches may be modeling of nonlinear processes based on the use of the concepts of catastrophe theory. Studies have shown a key indicator of such modeling is to determine the essential features of the disaster. The study showed that the widely used models of the economic processes of the digital economy, as well as the software and technical components of the internet of things, can be transformed into the canonical equation of «assembly», which subsequently leads to the emergence of such an area in the space of phase development variables in which jumps can occur or for the better, or vice versa, such as a collapse. Currently, in the digital economy, the study of such phenomena seems to be very relevant, since an uncontrolled «spasmodic» change in the functioning parameters of such systems can lead to disastrous consequences for the functioning of all interconnected subsystems. The collapse or unstable behavior of one of the components of such systems can lead to the collapse of the entire system. Such phenomena are not allowed in the digital economy and can trigger not only economic consequences, but also social ones.

The study of the applicability of catastrophe theory in predicting the systemic risks of managing the digital economy and Internet of things systems