Objective of this work is to study the nonlinear dynamics and stability of the motion of a conducting thin ring in the electromagnetic field of two circular inductors.

Methods. The analysis is performed using asymptotic methods of nonlinear mechanics. Numerical methods of bifurcation theory are used to study the average position of a levitating body in the space of key suspension parameters over the period of a rapidly oscillating field.

Results. Assuming a slow evolution of the average position of a levitating body, the conditions for the occurrence and parameters of drift are determined. The stability of the levitation regime is investigated in a refined asymptotic formulation.

Conclusion. It is shown that taking into account the possibility of slow evolution of the average position of a levitating body leads to the formulation of a stability condition related to the relationship between the dissipation of mechanical and electrical nature.