We obtain 21 two-dimensional natural Hamiltonian systems with sextic invariants, which are polynomials of the sixth order in momenta. Following to Bertrand, Darboux, and Drach these results of the standard brute force experiments can be applied to construct a new mathematical theory.

Original languageEnglish
Article number106404
Number of pages1
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume110
Early online date12 Mar 2022
DOIs
StatePublished - Jul 2022

    Scopus subject areas

  • Mathematics(all)
  • Computer Science(all)
  • Applied Mathematics
  • Numerical Analysis
  • Modelling and Simulation

    Research areas

  • Integrable systems

ID: 93463981