Multibump orbits continued from the anti-integrable limit for Lagrangian systems

This paper presents an implicit function theorem version of the results of Bolotin and MacKay (1997) for multibump orbits of time-dependent Lagrangian systems on the torus. The anti-integrable limit is the singular (or adiabatic) limit in the singularly (adiabatically, resp.) perturbed problems.