Global versus local superintegrability of nonlinear oscillators

DOI10.1016/J.PHYSLETA.2018.12.007zbMath1479.34006arXiv1809.02248OpenAlexW2950302308MaRDI QIDQ822865

Maria Luz Gandarias, Stephen C. Anco, Ángel Ballesteros

Publication date: 24 September 2021

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.02248

zbMATH Keywords

first integralsnonlinear oscillatorsuperintegrabilityposition dependent masslocal symmetriesnon-constant curvature

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (2)

Analog of a Laplace–Runge–Lenz vector for particle orbits (time-like geodesics) in Schwarzschild spacetime ⋮ Symmetries and integrals of motion of a superintegrable deformed oscillator

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