After S. Smale's works it became clear that in smooth dynamics the system of a general form is not structurally stable and therefore there is no strict mathematical basis for modeling and computational analysis of systems. The contradiction appeared in science: according to physicists dynamics is simple and universal. The solution to this problem was proposed based on the construction of dynamic quantum models (DQM). From the assumption that quantum effects are caused by unrecoverable “white noise”, a certain mathematical model of quantum mechanics already follows and is essentially unambiguous. On the other hand, in this model spectral problems are reduced to the usual perturbation theory of smooth dynamical systems. Thus, the construction of such models can be considered as an asymptotic method for solving spectral problems. But the definition of DQM is not formally related to Hamiltonian systems. DQM is defined and constructed universally for both Hamiltonian systems and systems with the truth function. As a result, for example, quantization with the Bohr-Sommerfeld condition also extends to systems with a truth function. Hopefully DQM opens for new applications. The most important is to seek assistance and cooperation in future research.