On momentum-polynomial integrals of a reversible Hamiltonian system of a certain form
DOI10.1134/S0081543820050107zbMath1456.37056OpenAlexW3110756012WikidataQ114393722 ScholiaQ114393722MaRDI QIDQ2214285
Publication date: 8 December 2020
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0081543820050107
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
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Cites Work
- First integrals that are polynomial in momenta for a mechanical system on a two-dimensional torus
- Topology of the configuration space, singularities of the potential, and polynomial integrals of equations of dynamics
- Compatibility conditions for a non-quadratic integral of motion
- Remarks on polynomial integrals of higher degrees for reversible systems with toral configuration space
- On polynomial integrals of a mechanical system on a two-dimensional torus
- ON THE INTEGRABILITY OF HAMILTONIAN SYSTEMS WITH TORAL POSITION SPACE
- Polynomial integrals of reversible mechanical systems with a two-dimensional torus as the configuration space
- Topological approach to the generalized $ n$-centre problem
- POLYNOMIAL INTEGRALS OF GEODESIC FLOWS ON A TWO-DIMENSIONAL TORUS
- The Maupertuis principle and geodesic flows on the sphere arising from integrable cases in the dynamics of a rigid body
- Polynomialin momentainvariants of Hamilton's equations, divergent series and generalized functions
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