Analytic non-integrable Hamiltonian systems and irregular singularity

DOI10.1007/s10231-007-0055-0zbMath1150.37009OpenAlexW1966239003MaRDI QIDQ931362

Masafumi Yoshino

Publication date: 25 June 2008

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-007-0055-0

zbMATH Keywords

Liouville integrabilityirregular singularityanalytic nonintegrable Hamiltonian systems

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Series solutions to PDEs (35C10) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (2)

Polynomial integrability of the Hamiltonian systems with homogeneous potential of degree --3 ⋮ Integrability of Hamiltonian systems and transseries expansions

Cites Work

• Analytic-non-integrability of an integrable analytic Hamiltonian system
• Convergence versus integrability in Poincaré-Dulac normal form
• Convergence of normal form transformations: The Role of symmetries
• Integrability of Hamiltonian systems and Birkhoff normal forms in the simple resonance cases
• Singular complete integrability

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