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A simple proof of the geometric fractional monodromy theorem

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Publication:355323
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DOI10.3103/S0027132213020095zbMath1269.37029MaRDI QIDQ355323

D. I. Tonkonog

Publication date: 24 July 2013

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)


zbMATH Keywords

singular pointaction variables latticebiffurcationfractional monodromyHamiltonian monodromy


Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Momentum maps; symplectic reduction (53D20)


Related Items (3)

Nekhoroshev's approach to Hamiltonian monodromy ⋮ Parallel transport along Seifert manifolds and fractional monodromy ⋮ Recent advances in the monodromy theory of integrable Hamiltonian systems




Cites Work

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  • A geometric fractional monodromy theorem
  • Fractional Hamiltonian monodromy
  • Metamorphoses of Hamiltonian systems with symmetries
  • Fractional monodromy in the case of arbitrary resonances
  • On global action-angle coordinates




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