On the integrability of circulatory systems

DOI10.1134/S1560354722010038zbMath1496.37059OpenAlexW4210741891MaRDI QIDQ2125703

Yanyan Li

Publication date: 14 April 2022

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

Full work available at URL: https://doi.org/10.1134/s1560354722010038

zbMATH Keywords

circulatory systempolynomial integralgenus of surface

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) Dynamical systems in classical and celestial mechanics (37N05) 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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• POLYNOMIAL INTEGRALS OF GEODESIC FLOWS ON A TWO-DIMENSIONAL TORUS
• First integrals and asymptotic trajectories
• Nonconservative stability problems of modern physics
• Coordinate free nonlinear incremental discrete mechanics

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