Nguyen Tien Zung Convergence versus integrability in Birkhoff normal form. (English) Zbl 1076.37045 Ann. Math. (2) 161, No. 1, 141-156 (2005). Th main result states: Any real (complex) analytically integrable Hamiltonian system in a neighborhood of an equilibrium point on a symplectic manifold admits a real (complex) convergent Birkhoff normalization at that point. Reviewer: Constantin Udrişte (Bucureşti) Cited in 1 ReviewCited in 44 Documents MSC: 37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests 37G05 Normal forms for dynamical systems Keywords:Hamiltonian system; Birkhoff normalization PDFBibTeX XMLCite \textit{Nguyen Tien Zung}, Ann. Math. (2) 161, No. 1, 141--156 (2005; Zbl 1076.37045) Full Text: DOI arXiv