Discrete symmetries of equations of dynamics with polynomial integrals of higher degrees

DOI10.4213/im9378ezbMath1530.70018OpenAlexW4388657403MaRDI QIDQ6072018

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Publication date: 29 November 2023

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/im9378

zbMATH Keywords

Fourier expansionspectrumHamiltonian systemresonance lineconfiguration torusperturbation potential term

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) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Cites Work

• On momentum-polynomial integrals of a reversible Hamiltonian system of a certain form
• 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
• Degenerate integrable systems on the plane with a cubic integral of motion
• Unnamed Item

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