Standard

Superintegrable Systems with Algebraic and Rational Integrals of Motion. / Tsiganov, A. V.

In: Theoretical and Mathematical Physics(Russian Federation), Vol. 199, No. 2, 01.05.2019, p. 659-674.

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

Harvard

Tsiganov, AV 2019, 'Superintegrable Systems with Algebraic and Rational Integrals of Motion', Theoretical and Mathematical Physics(Russian Federation), vol. 199, no. 2, pp. 659-674. https://doi.org/10.1134/S0040577919050040

APA

Tsiganov, A. V. (2019). Superintegrable Systems with Algebraic and Rational Integrals of Motion. Theoretical and Mathematical Physics(Russian Federation), 199(2), 659-674. https://doi.org/10.1134/S0040577919050040

Vancouver

Tsiganov AV. Superintegrable Systems with Algebraic and Rational Integrals of Motion. Theoretical and Mathematical Physics(Russian Federation). 2019 May 1;199(2):659-674. https://doi.org/10.1134/S0040577919050040

Author

Tsiganov, A. V. / Superintegrable Systems with Algebraic and Rational Integrals of Motion. In: Theoretical and Mathematical Physics(Russian Federation). 2019 ; Vol. 199, No. 2. pp. 659-674.

BibTeX

@article{d55360c9626d4f939fce4c06c26fe95a,
title = "Superintegrable Systems with Algebraic and Rational Integrals of Motion",
abstract = "We consider superintegrable deformations of the Kepler problem and the harmonic oscillator on the plane and also superintegrable metrics on a two-dimensional sphere, for which the additional integral of motion is either an algebraic or a rational function of momenta. According to Euler, these integrals of motion take the simplest form in terms of affine coordinates of elliptic curve divisors.",
keywords = "discrete integrable map, finite-dimensional integrable system, intersection theory",
author = "Tsiganov, {A. V.}",
year = "2019",
month = may,
day = "1",
doi = "10.1134/S0040577919050040",
language = "English",
volume = "199",
pages = "659--674",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Superintegrable Systems with Algebraic and Rational Integrals of Motion

AU - Tsiganov, A. V.

PY - 2019/5/1

Y1 - 2019/5/1

N2 - We consider superintegrable deformations of the Kepler problem and the harmonic oscillator on the plane and also superintegrable metrics on a two-dimensional sphere, for which the additional integral of motion is either an algebraic or a rational function of momenta. According to Euler, these integrals of motion take the simplest form in terms of affine coordinates of elliptic curve divisors.

AB - We consider superintegrable deformations of the Kepler problem and the harmonic oscillator on the plane and also superintegrable metrics on a two-dimensional sphere, for which the additional integral of motion is either an algebraic or a rational function of momenta. According to Euler, these integrals of motion take the simplest form in terms of affine coordinates of elliptic curve divisors.

KW - discrete integrable map

KW - finite-dimensional integrable system

KW - intersection theory

UR - http://www.scopus.com/inward/record.url?scp=85066807622&partnerID=8YFLogxK

U2 - 10.1134/S0040577919050040

DO - 10.1134/S0040577919050040

M3 - Article

AN - SCOPUS:85066807622

VL - 199

SP - 659

EP - 674

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 2

ER -

ID: 42851010