Normally elliptic singular perturbations and persistence of homoclinic orbits

DOI10.1016/j.jde.2011.02.001zbMath1227.34056arXiv1012.0079OpenAlexW2963745976MaRDI QIDQ2430953

Chongchun Zeng, Nan Lu

Publication date: 8 April 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0079

zbMATH Keywords

homoclinic solutionscenter manifoldsstable manifoldshigh frequency oscillationsunstable manifoldsnormally eliptic singular perturbation problems

Mathematics Subject Classification ID

Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15) Multiple scale methods for ordinary differential equations (34E13) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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