The integrable case of Adler-van Moerbeke. Discriminant set and bifurcation diagram

DOI10.1134/S1560354716050087zbMath1368.70029OpenAlexW2531196945MaRDI QIDQ2520099

Pavel E. Ryabov, A. A. Oshemkov, Sergei V. Sokolov

Publication date: 13 December 2016

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354716050087

zbMATH Keywords

bifurcation diagramspectral curveintegrable Hamiltonian systems

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Motion of a rigid body with a fixed point (70E17) Motion of the gyroscope (70E05)

Related Items (4)

Bifurcation diagram of the two vortices in a Bose-Einstein condensate with intensities of the same signs ⋮ Explicit determination of certain periodic motions of a generalized two-field gyrostat ⋮ On the existence of focus singularities in one model of a Lagrange top with a vibrating suspension point ⋮ The Adler-van Moerbeke integrable case. Visualization of bifurcations of Liouville tori

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