39 citations · 85 across the 5 of their papers we have counts for
5 papers
Necessary conditions for classical super-integrability of a certain family of potentials in constant curvature spaces
Andrzej J. Maciejewski, Maria Przybylska, Haruo Yoshida
We formulate the necessary conditions for the maximal super-integrability of a certain family of classical potentials defined in the constant curvature two-dimensional spaces. We g…
Additional Constants of Motion for a Discretization of the Calogero--Moser Model
Hideaki Ujino, Luc Vinet, Tetsu Yajima +1
The maximal super-integrability of a discretization of the Calogero--Moser model introduced by Nijhoff and Pang is presented. An explicit formula for the additional constants of mo…
Necessary conditions for partial and super-integrability of Hamiltonian systems with homogeneous potentia
Andrzej J. Maciejewski, Maria Przybylska, Haruo Yoshida
We consider a natural Hamiltonian system of degrees of freedom with a homogeneous potential. Such system is called partially integrable if it admits independent and com…
A Super-Integrable Discretization of the Calogero Model
Hideaki Ujino, Luc Vinet, Haruo Yoshida
A time-discretization that preserves the super-integrability of the Calogero model is obtained by application of the integrable time-discretization of the harmonic oscillator to th…
A list of all integrable 2D homogeneous polynomial potentials with a polynomial integral of order at most 4 in the momenta
Katsuya Nakagawa, Haruo Yoshida
We searched integrable 2D homogeneous polynomial potential with a polynomial first integral by using the so-called direct method of searching for first integrals. We proved that th…