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Isoenergetic classification of integrable Hamiltonian systems in a neighborhood of a simple elliptic point

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Publication:1898530
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DOI10.1007/BF02110377zbMath0832.58014OpenAlexW2066320223MaRDI QIDQ1898530

Ya. L. Umanskij, Lev M. Lerman

Publication date: 25 September 1995

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02110377


zbMATH Keywords

Hamiltonian systemisoenergetic classificationsimple elliptic point


Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)


Related Items (1)

Structurally stable nondegenerate singularities of integrable systems



Cites Work

  • Normal forms for Hamiltonian systems with Poisson commuting integrals - elliptic case
  • Action-angle coordinates at singularities for analytic integrable systems
  • Sur Certains Systemes Dynamiques Separables


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