Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 110, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2022.106404
Keywords
Integrable systems
Categories
Funding
- Russian Science Foundation [21-11-00141]
- Russian Science Foundation [21-11-00141] Funding Source: Russian Science Foundation
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This study presents 21 two-dimensional natural Hamiltonian systems with sextic invariants, opening up the possibility of constructing a new mathematical theory based on these results.
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. (c) 2022 Elsevier B.V. All rights reserved.
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