@inbook{d400cdab5622478c9ee6f7db45691166,
title = "Tracking invariant manifolds",
abstract = "The main goal of this chapter is to discuss the tracking of invariant manifolds when they transition from a fast to a slow motion and vice versa. That is, we would like to understand how trajectories or more general objects enter and leave the vicinity of a normally hyperbolic critical manifold. The main application is to show how the geometric theory of fast–slow systems can be used to prove the persistence of candidate orbits for 0 < ɛ ≪ 1.",
author = "Christian Kuehn",
note = "Publisher Copyright: {\textcopyright} 2015, Springer International Publishing Switzerland.",
year = "2015",
doi = "10.1007/978-3-319-12316-5_6",
language = "English",
series = "Applied Mathematical Sciences (Switzerland)",
publisher = "Springer",
pages = "113--157",
booktitle = "Applied Mathematical Sciences (Switzerland)",
}