121 citations · 598 across the 15 of their papers we have counts for
Showing 2006 · math-phShow all
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math-ph2006★ 35 cited
Polynomial Poisson Algebras for Classical Superintegrable Systems with a Third Order Integral of Motion
I. Marquette, P. Winternitz
We present polynomial Poisson algebras for the 8 classical potentials in two-dimensional Euclidian space that separate in cartesian coordinates and allow a third order integral of…
math-ph2006★ 3 cited
A class of superintegrable systems of Calogero type
Roman G. Smirnov, Pavel Winternitz
We show that the three body Calogero model with inverse square potentials can be interpreted as a maximally superintegrable and multiseparable system in Euclidean three-space. As s…
math-ph2006★ 42 cited
Difference schemes with point symmetries and their numerical tests
A. Bourlioux, C Cyr-Gagnon, P Winternitz
Symmetry preserving difference schemes approximating second and third order ordinary differential equations are presented. They have the same three or four-dimensional symmetry gro…