On reversibility in systems with a non-compact configuration space and non-negative potential energy

DOI10.1016/J.JAPPMATHMECH.2017.12.001zbMath1443.70042OpenAlexW2781619238MaRDI QIDQ2278066

Yanyan Li

Publication date: 7 December 2019

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jappmathmech.2017.12.001

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Dynamical systems in classical and celestial mechanics (37N05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Cites Work

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• Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
• On the extendability of Noether's integrals for orbifolds of constant negative curvature
• Search for regular orbits in the x²y²potential problem

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