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Exponentially small splitting of invariant manifolds of parabolic points
About this Title
Inmaculada Baldomá and Ernest Fontich
Publication: Memoirs of the American Mathematical Society
Publication Year:
2004; Volume 167, Number 792
ISBNs: 978-0-8218-3445-9 (print); 978-1-4704-0390-4 (online)
DOI: https://doi.org/10.1090/memo/0792
MathSciNet review: 2025418
MSC: Primary 37J40; Secondary 34C37, 34E10, 37C29, 70H09, 70K44
Table of Contents
Chapters
- 1. Notation and main results
- 2. Analytic properties of the homoclinic orbit of the unperturbed system
- 3. Parameterization of local invariant manifolds
- 4. Flow box coordinates
- 5. The extension theorem
- 6. Splitting of separatrices