General fenichel theory

Christian Kuehn

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

2 Scopus citations


Important Remark: This chapter provides a proof of the perturbation of normally hyperbolic invariant manifolds due to Fenichel. Chapter 3 specializes the general case to fast–slow systems, so that the current chapter is necessary only for readers interested in the proof and its strategy. It is possible to skip this chapter at first reading, get an idea how the theorem is used, and then return to the proof.

Original languageEnglish
Title of host publicationApplied Mathematical Sciences (Switzerland)
Number of pages33
StatePublished - 2015
Externally publishedYes

Publication series

NameApplied Mathematical Sciences (Switzerland)
ISSN (Print)0066-5452
ISSN (Electronic)2196-968X


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