Necessary and sufficient conditions for two Poincaré concepts of nondegeneracy of integrable Hamiltonian systems

zbMath0963.37049MaRDI QIDQ1594022

Oleg I. Bogoyavlenskij

Publication date: 28 January 2001

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

zbMATH Keywords

Liouville integrabilitycharacerization problemPoincaré nondegenerate

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Nearly integrable Hamiltonian systems, KAM theory (70H08)

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