High-degree polynomial integrals of a natural system on the two-dimensional torus

DOI10.1134/S0037446623020015OpenAlexW4360831411MaRDI QIDQ2691802

Sergey Agapov

Publication date: 30 March 2023

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446623020015

zbMATH Keywords

natural mechanical systemfirst integral polynomial in momentaspectrum of potential

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Hamiltonian and Lagrangian mechanics (70Hxx) Dynamical systems with hyperbolic behavior (37Dxx)

Related Items (1)

On the rational integrals of two-dimensional natural systems

Uses Software

• SINGULAR

Cites Work

• Fourth-degree polynomial integrals of a natural mechanical system on a two-dimensional torus
• First integrals that are polynomial in momenta for a mechanical system on a two-dimensional torus
• 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
• GEODESIC FLOWS ON TWO-DIMENSIONAL MANIFOLDS WITH AN ADDITIONAL FIRST INTEGRAL THAT IS POLYNOMIAL IN THE VELOCITIES
• 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
• Unnamed Item

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