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nlin.SI2022★ 1 cited
More on superintegrable models on spaces of constant curvature
Cezary Gonera, Joanna Gonera, Javier de Lucas +2
A known general class of superintegrable systems on 2D spaces of constant curvature can be defined by potentials separating in (geodesic) polar coordinates. The radial parts of the…
nlin.SI2020★ 4 cited
Symmetries and integrals of motion of a superintegrable deformed oscillator
Joanna Gonera, Artur Jasinski, Piotr Kosinski
The symmetry structure of twodimensional nonlinear isotropic oscillator, introduced in Physica D237 (2008) 505, is discussed. It is shown that it possesses three independent integr…