Topology of Algebraically Separable Integrable Systems
https://doi.org/10.22405/2226-8383-2025-26-2-198-217
Abstract
We classify the simplest 3-dimensional singularities of regular algebraically separable integrable systems. Such systems form an important class of Liouville integrable Hamiltonian systems with two degrees of freedom and occur in many problems of mechanics and geometry.
The techniques elaborated in the paper is based on the analysis of a certain Z2-matrix uniquely determined by the expressions of the initial phase variables via the separating variables.
About the Author
Stanislav Sergeevich Nikolaenko
Moscow Institute of Physics and Technology (National Research University); Lomonosov Moscow State University
Russian Federation
Russian Federation
candidate of physical and mathematical sciences
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Review
For citations:
Nikolaenko S.S. Topology of Algebraically Separable Integrable Systems. Chebyshevskii Sbornik. 2025;26(2):198-217. (In Russ.) https://doi.org/10.22405/2226-8383-2025-26-2-198-217
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