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On two-dimensional Hamiltonian systems with sixth-order integrals of motion. / Porubov, E.O.; Tsiganov, A.V.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 110, 106404, 07.2022.

Research output: Contribution to journal › Article › peer-review

Harvard

Porubov, EO & Tsiganov, AV 2022, 'On two-dimensional Hamiltonian systems with sixth-order integrals of motion', Communications in Nonlinear Science and Numerical Simulation, vol. 110, 106404. https://doi.org/10.1016/j.cnsns.2022.106404

APA

Porubov, E. O., & Tsiganov, A. V. (2022). On two-dimensional Hamiltonian systems with sixth-order integrals of motion. Communications in Nonlinear Science and Numerical Simulation, 110, [106404]. https://doi.org/10.1016/j.cnsns.2022.106404

Vancouver

Porubov EO, Tsiganov AV. On two-dimensional Hamiltonian systems with sixth-order integrals of motion. Communications in Nonlinear Science and Numerical Simulation. 2022 Jul;110. 106404. https://doi.org/10.1016/j.cnsns.2022.106404

Author

Porubov, E.O. ; Tsiganov, A.V. / On two-dimensional Hamiltonian systems with sixth-order integrals of motion. In: Communications in Nonlinear Science and Numerical Simulation. 2022 ; Vol. 110.

BibTeX

@article{3a66424db35043148a7a0ddabffe39a7,
title = "On two-dimensional Hamiltonian systems with sixth-order integrals of motion",
abstract = "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.",
keywords = "Integrable systems",
author = "E.O. Porubov and A.V. Tsiganov",
note = "Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.",
year = "2022",
month = jul,
doi = "10.1016/j.cnsns.2022.106404",
language = "English",
volume = "110",
journal = "Communications in Nonlinear Science and Numerical Simulation",
issn = "1007-5704",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - On two-dimensional Hamiltonian systems with sixth-order integrals of motion

AU - Porubov, E.O.

AU - Tsiganov, A.V.

N1 - Publisher Copyright: © 2022 Elsevier B.V.

PY - 2022/7

Y1 - 2022/7

N2 - 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.

AB - 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.

KW - Integrable systems

UR - http://www.scopus.com/inward/record.url?scp=85126534393&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/cfacabac-b117-3106-bc20-e8fcf05f64a9/

U2 - 10.1016/j.cnsns.2022.106404

DO - 10.1016/j.cnsns.2022.106404

M3 - Article

VL - 110

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

M1 - 106404

ER -

ID: 93463981