  We systematically analyze the impact of dilatonic dynamics on Skyrme spheres,
crystals and branes. The effects of the dilatonic model parameters,
encompassing different underlying near-conformal dynamics, on the macroscopic
properties of Skyrmions such as their mass and radius, are discussed. For
spheres and crystals we identify special values of the ratio of the decay
constants for which the second order differential equations reduce to a
solvable first order system. Additionally, in the case of the crystals, the
dilaton presence spatially separates the baryon and isospin charge
distributions. For branes, we show how the dilaton smooths out their
configurations. Our results are expected to have wide implications from the
study of near-conformal dynamics stemming from QCD-like theories to
phenomenological investigations of nuclear matter in extreme regimes.

High Energy Physics - Phenomenology;High Energy Physics - Lattice;High Energy Physics - Theory;Nuclear Theory