On classification of polynomial Hamiltonians with nondegenerate linearly stable singular point

DOI10.3103/S1066369X19010092zbMath1430.37061WikidataQ114039202 ScholiaQ114039202MaRDI QIDQ2287014

P. V. Bibikov

Publication date: 23 January 2020

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

Galois groupHamiltonianBirkhoff normal formpolynomial automorphismsymplectomorphism

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Symplectic and canonical mappings (37J11)

Cites Work

• Global Lie-Tresse theorem
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