Classification of the gluing matrices on the loop molecules of the points of center-center type

DOI10.1007/S10958-021-05650-6zbMath1484.37068OpenAlexW3211731438MaRDI QIDQ2055319

A. I. Zhila

Publication date: 1 December 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05650-6

zbMATH Keywords

topological invariantsbifurcation diagramFomenko-Zieschang theory

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Topological invariants on manifolds (58K65) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Cites Work

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• Topological analysis of the Liouville foliation for the Kovalevskaya integrable case on the Lie algebra \(\operatorname{so}(4)\)
• THE TOPOLOGY OF SURFACES OF CONSTANT ENERGY IN INTEGRABLE HAMILTONIAN SYSTEMS, AND OBSTRUCTIONS TO INTEGRABILITY
• ON TYPICAL TOPOLOGICAL PROPERTIES OF INTEGRABLE HAMILTONIAN SYSTEMS
• The method of loop molecules and the topology of the Kovalevskaya top

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