2017/12/31 by Yu. A. Grigoriev, A. V. Tsiganov · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.DS #math.MP #nlin.SI
paper · pdf · doi:10.1016/j.physleta.2018.05.039
8 pages, LaTeX with AMS fonts, with corrected misprints
arxiv created 2018/04/02 · arxiv updated 2018/07/04
We continue the study of superintegrable systems of Thompson's type separable in Cartesian coordinates. An additional integral of motion for these systems is the polynomial in momenta of N-th order which is a linear function of angle variables and the polynomial in action variables. Existence of such superintegrable systems is naturally related to the famous Chebyshev theorem on binomial differentials.