Integrability of Hamiltonian systems and transseries expansions

DOI10.1007/s00209-010-0669-6zbMath1221.37111OpenAlexW1988464585MaRDI QIDQ543323

Masafumi Yoshino, Werner Balser

Publication date: 17 June 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-010-0669-6

zbMATH Keywords

Hamiltonian systemssummabilitynonintegrabilitytransseries

Mathematics Subject Classification ID

Series solutions to PDEs (35C10) Abel, Borel and power series methods (40G10) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Cites Work

• Analytic-non-integrability of an integrable analytic Hamiltonian system
• Analytic non-integrable Hamiltonian systems and irregular singularity
• Integrable geodesic flows with positive topological entropy
• Formal power series and linear systems of meromorphic ordinary differential equations
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