Local integrability of Poincaré-Dulac normal forms

DOI10.1134/S1560354718070080zbMath1416.37053OpenAlexW2913846857MaRDI QIDQ1739573

Shogo Yamanaka

Publication date: 26 April 2019

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354718070080

zbMATH Keywords

integrabilitydynamical systemresonancesPoincaré-Dulac normal form

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items

Nonintegrability of truncated Poincaré-Dulac normal forms of resonance degree two ⋮ Analytic partial-integrability of a symmetric Hopf-zero degeneracy ⋮ Nonintegrability of dynamical systems near degenerate equilibria ⋮ Nonintegrability of the unfolding of the fold-Hopf bifurcation ⋮ On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier

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