The development of the theory of stability of dynamic systems is actively taking place in the direction of studying chaotic dynamic systems. The class of such systems, along with others, includes biological systems (objects), among which the highest importance is given to a person as a complex biological object that requires appropriate study. Special attention for research is required by a person-operator of complex production (technological) processes, who is under the influence of destabilizing factors, in particular, this is a significant part of the personnel of the aviation industry. Ensuring a stable state of such specialists, functional stability of their body is an urgent task. Professions related to aviation security need to develop technologies that allow assessing the state of the operator who makes decisions under the influence of destabilizing factors. Therefore, the functional health of aviation operators is an important trigger in a proactive approach to the entire risk management system for the aviation industry. The paper presents studies that make it possible to obtain additional information from existing biomedical data to assess the functional state of the operator. This approach makes it possible to predict the possibility of a violation of the functional state and, as a consequence, become a reason for failure to fulfill professional duties. The approach is based on studying the stability of a dynamic system to disturbances and analyzing the signals produced by this system.