Convergence versus integrability in Birkhoff normal form
By Nguyen Tien Zung. 2001
113 citations recorded by the source corpus.
We show that any analytically integrable Hamiltonian system near an equilibrium point admits a convergent Birkhoff normalization. The proof is based on a new, geometric approach to the topic.
Subfields: Numerical Analysis, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/e44b05f40486f8f0318b8aa0dae6c3e79becbb3d
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In Numerical Analysis
In Statistical and Nonlinear Physics
Citations in the corpus
- KdV is well-posed in H–1 (2018, unknown): “[68, 71]).”
- Analytic normalization of analytic integrable systems and the embedding flows (2008, background): “It is well known [8,9,13,17] that the existence of analytic normalizations transforming an analytic vector field to a desired normal form is strongly related to the existence of analytic first integrals.”