Homotopic properties of the neighborhood of a degenerate periodic solution for integrable Hamiltonian systems with a non-Bottean integral

zbMATH Open0878.58028MaRDI QIDQ1358558

E. E. Mednikova

Publication date: 13 July 1997

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

zbMATH Keywords

fundamental groupsfiber bundleHamiltonian systemhomotopy equivalenceLiouville torus

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) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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