Existence of divergent Birkhoff normal forms of Hamiltonian functions

zbMath1309.37053arXivmath/0307379MaRDI QIDQ372154

Xianghong Gong

Publication date: 14 October 2013

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307379

zbMATH Keywords

Birkhoff normal formsmall divisors

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items

Lyapunov unstable elliptic equilibria ⋮ On the divergence of Birkhoff normal forms ⋮ Normalization flow ⋮ Divergent Birkhoff normal forms of real analytic area preserving maps