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On the splitting of invariant manifolds in multidimensional near-integrable Hamiltonian systems

About this Title

P. Lochak, J.-P. Marco and D. Sauzin

Publication: Memoirs of the American Mathematical Society
Publication Year: 2003; Volume 163, Number 775
ISBNs: 978-0-8218-3268-4 (print); 978-1-4704-0373-7 (online)
DOI: https://doi.org/http://dx.doi.org/10.1090/memo/0775
MathSciNet review: 1964346
MSC: Primary 37J40; Secondary 70H08

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Table of Contents

Chapters

  • 0. Introduction and some salient features of the model Hamiltonian
  • 1. Symplectic geometry and the splitting of invariant manifolds
  • 2. Estimating the splitting matrix using normal forms
  • 3. The Hamilton–Jacobi method for a simple resonance