Topological invariants of pseudo-Euclidean Zhukovsky integrable
https://doi.org/10.22405/2226-8383-2025-26-4-224-239
Abstract
We study the pseudo-Euclidean analogue of the integrable Zhukovsky case for an axisymmetric body. Two essential parameters were found on the multidimensional parameter space, and the separating set was constructed. The bifurcation curve arrangement on the momentum map plane is explicitly described depending on parameter values. Fomenko invariants analogs for non-singular isoenergy and isointegral surfaces are computed. A visualization of the output of the algorithm for constructing labeled graphs for non-singular isoenergetic surfaces is given.
About the Authors
Ekaterina Sergeevna Agureeva
Lomonosov Moscow State University; Moscow Center for Fundamental and Applied Mathematics
Russian Federation
Russian Federation
Vladislav Alexandrovich Kibkalo
Lomonosov Moscow State University; Moscow Center for Fundamental and Applied Mathematics
Russian Federation
Russian Federation
candidate of physical and mathematical sciences
Victor Alexandrovich Chertopolokhov
Lomonosov Moscow State University, Supersonic center
Russian Federation
Russian Federation
candidate of physical and mathematical sciences
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Review
For citations:
Agureeva E.S., Kibkalo V.A., Chertopolokhov V.A. Topological invariants of pseudo-Euclidean Zhukovsky integrable. Chebyshevskii Sbornik. 2025;26(4):224-239. (In Russ.) https://doi.org/10.22405/2226-8383-2025-26-4-224-239
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