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Bäcklund transformations for the nonholonomic Veselova system. / Tsiganov, Andrey V.

In: Regular and Chaotic Dynamics, Vol. 22, No. 2, 01.03.2017, p. 163-179.

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

Harvard

Tsiganov, AV 2017, 'Bäcklund transformations for the nonholonomic Veselova system', Regular and Chaotic Dynamics, vol. 22, no. 2, pp. 163-179. https://doi.org/10.1134/S1560354717020058

APA

Tsiganov, A. V. (2017). Bäcklund transformations for the nonholonomic Veselova system. Regular and Chaotic Dynamics, 22(2), 163-179. https://doi.org/10.1134/S1560354717020058

Vancouver

Tsiganov AV. Bäcklund transformations for the nonholonomic Veselova system. Regular and Chaotic Dynamics. 2017 Mar 1;22(2):163-179. https://doi.org/10.1134/S1560354717020058

Author

Tsiganov, Andrey V. / Bäcklund transformations for the nonholonomic Veselova system. In: Regular and Chaotic Dynamics. 2017 ; Vol. 22, No. 2. pp. 163-179.

BibTeX

@article{e9a619fc35534a76a229d1efc0535f75,
title = "B{\"a}cklund transformations for the nonholonomic Veselova system",
abstract = "We present auto and hetero B{\"a}cklund transformations of the nonholonomic Veselova system using standard divisor arithmetic on the hyperelliptic curve of genus two. As a by-product one gets two natural integrable systems on the cotangent bundle to the unit two-dimensional sphere whose additional integrals of motion are polynomials in the momenta of fourth order.",
keywords = "bi-Hamiltonian geometry, B{\"a}cklund transformations, nonholonomic dynamical system",
author = "Tsiganov, {Andrey V.}",
year = "2017",
month = mar,
day = "1",
doi = "10.1134/S1560354717020058",
language = "English",
volume = "22",
pages = "163--179",
journal = "Regular and Chaotic Dynamics",
issn = "1560-3547",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "2",

}

RIS

TY - JOUR

T1 - Bäcklund transformations for the nonholonomic Veselova system

AU - Tsiganov, Andrey V.

PY - 2017/3/1

Y1 - 2017/3/1

N2 - We present auto and hetero Bäcklund transformations of the nonholonomic Veselova system using standard divisor arithmetic on the hyperelliptic curve of genus two. As a by-product one gets two natural integrable systems on the cotangent bundle to the unit two-dimensional sphere whose additional integrals of motion are polynomials in the momenta of fourth order.

AB - We present auto and hetero Bäcklund transformations of the nonholonomic Veselova system using standard divisor arithmetic on the hyperelliptic curve of genus two. As a by-product one gets two natural integrable systems on the cotangent bundle to the unit two-dimensional sphere whose additional integrals of motion are polynomials in the momenta of fourth order.

KW - bi-Hamiltonian geometry

KW - Bäcklund transformations

KW - nonholonomic dynamical system

UR - http://www.scopus.com/inward/record.url?scp=85017033669&partnerID=8YFLogxK

U2 - 10.1134/S1560354717020058

DO - 10.1134/S1560354717020058

M3 - Article

AN - SCOPUS:85017033669

VL - 22

SP - 163

EP - 179

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

SN - 1560-3547

IS - 2

ER -

ID: 8433068