Some ring-shaped potentials as a generalized 4-D isotropic oscillator. Periodic orbits

DOI10.1007/s10569-010-9258-6zbMath1223.70066OpenAlexW1972754549MaRDI QIDQ642354

Eva Tresaco, Sebastián Ferrer

Publication date: 26 October 2011

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10569-010-9258-6

zbMATH Keywords

Pöschl-Teller potentialsuperintegrability4-D isotropic oscillatorsgeneralized Hartmann potentialring-shaped systems

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (3)

Computation of families of periodic orbits and bifurcations around a massive annulus ⋮ New families of superintegrable systems from Hermite and Laguerre exceptional orthogonal polynomials ⋮ Generalized five-dimensional Kepler system, Yang-Coulomb monopole, and Hurwitz transformation

Cites Work

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• On periodic orbits and resonance in extrasolar planetary systems
• The Lissajous transformation. I: Basics
• The normalized wavefunctions of the Hartmann potential and explicit expressions for their radial average values
• A super-integrable two-dimensional nonlinear oscillator with an exactly solvable quantum analog
• Superintegrable Hamiltonian systems: Geometry and perturbations
• Dynamics of a satellite orbiting a planet with an inhomogeneous gravitational field
• TOPOLOGY AND PERIODIC ORBITS OF RING-SHAPED POTENTIALS AS A GENERALIZED 4-D ISOTROPIC OSCILLATOR
• A new ring-shaped potential and its dynamical invariance algebra
• Dynamical symmetries, non-Cartan symmetries and superintegrability of then-dimensional harmonic oscillator
• Shape invariant potentials in SUSY quantum mechanics and periodic orbit theory
• Dynamical invariance algebra of the Hartmann potential
• The generalized MIC-Kepler system

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