Multibump orbits continued from the anti-integrable limit for Lagrangian systems
This paper presents an implicit function theorem version of the results of \textit{S. V. Bolotin} and \textit{R. S. MacKay} [Nonlinearity 10, No. 5, 1015--1029 (1997; Zbl 0972.34046)] 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.
persistence of non-degenerate trajectories
scientific article; zbMATH DE number 2097038