RESONANCES IN THE SYSTEM OF THE INTERACTED SOURCES OF VIBRATION - FORMULATION OF PROBLEM AND GENERAL RESULTS

This paper outlines the mathematical formulation of the problem of str uctural interaction between several sources of vibration in a physical system. The tendency to self-organization in the system is related to the existence of attractive torus manifolds in the state space of the system. In this study the conditions for the existence of such toruse s are obtained. In the case of partly internally and partly externally generated frequency basis, the generalization of the Andronov-Vitt th eorem is obtained.