Multibump orbits continued from the anti-integrable limit for Lagrangian systems
type: Item
instance of: scholarly article
title: Multibump orbits continued from the anti-integrable limit for Lagrangian systems
zbMATH Open document ID: 1150.34507
author: Yanyan Li
published in: Regular and Chaotic Dynamics
publication date: 2004-09-06T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 34C40
zbMATH DE Number: 2097038
zbMATH Keywords: persistence of non-degenerate trajectories
zbMATH Keywords: smoothing broken trajectories
zbMATH Keywords: anti-integrable orbit
MaRDI profile type: Publication
full work available at URL: rd2003v008n03abeh000242
OpenAlex ID: W4248296506
DOI: 10.1070/RD2003V008N03ABEH000242
description: scientific article; zbMATH DE number 2097038