On Global Attraction for a Particle Coupled to a Scalar Field
Mathematical Physics
2026-05-25 v1 math.MP
Abstract
We study the question of global attraction, in the energy norm, for finite energy solutions to classical particle coupled to a scalar wave field. The attraction could take place to either the set of the stationary solutions in the case of a confining potential or to the soliton manifold in the case of zero potential. By energy conservation argument we establish that in both cases there is no global attraction.
Cite
@article{arxiv.2605.23186,
title = {On Global Attraction for a Particle Coupled to a Scalar Field},
author = {Valeriy Imaykin},
journal= {arXiv preprint arXiv:2605.23186},
year = {2026}
}
Comments
5 pages, 5 references