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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

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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