A damping system and apparatus are disclosed for dampening acoustic pressure oscillations of a gas flow in a combustor of a gas turbine engine having at least one combustor with a combustor liner. A second inner cap portion is disposed on the at least one combustor. The second inner cap portion can have a hot surface, a cold surface, at least one burner opening protruding from the cold surface, and at least one neck ring having an internal opening and protruding from the cold surface. At least one extended resonating tube having a resonating tube neck is integrated with and protruding from the at least one neck ring. The at least one extended resonating tube is disposed between adjacent burner openings, and is configured such that the radial dimension is less than the axial dimension.