ABSTRACT
This chapter investigates the resonant mechanisms in which a dynamic part of scalar field can escape from the stable field structure. It studies the oscillations of the scalar field within certain boundaries that form potential wells, and the possibility of erupting a scalar field from this well. First, field fluctuations within some boundaries are described. Next, the effect of the boundaries on the amplitude of fluctuations is investigated. The possibility of a field eruption and the formation of particles is associated both with field amplification at the boundaries and with the influence of quantum perturbations. The stated research problem is, of course, very complicated. Therefore, in its mathematical consideration, the simplest initial equations are used, which have been solved using significant simplifying assumptions. In particular, the chapter considers strongly nonlinear oscillations of scalar fields in potential wells which form a regular space lattice.
