On the problem of separation of variables in systems of ordinary differential equations

DOI10.1134/S0012266121100049zbMath1487.37074OpenAlexW4200006337WikidataQ115249188 ScholiaQ115249188MaRDI QIDQ2064221

Yanyan Li

Publication date: 5 January 2022

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266121100049

zbMATH Keywords

separation of variableselliptic coordinatesStäckel coordinates

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) 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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• Homogeneous Stäckel-type systems
• Dynamical systems with multivalued integrals on a torus
• Remarks on integrable systems
• Theta functions and non-linear equations

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