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Integrable discretization and deformation of the nonholonomic Chaplygin ball. / Tsiganov, Andrey V.

в: Regular and Chaotic Dynamics, Том 22, № 4, 01.07.2017, стр. 353-367.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Tsiganov, AV 2017, 'Integrable discretization and deformation of the nonholonomic Chaplygin ball', Regular and Chaotic Dynamics, Том. 22, № 4, стр. 353-367. https://doi.org/10.1134/S1560354717040025

APA

Tsiganov, A. V. (2017). Integrable discretization and deformation of the nonholonomic Chaplygin ball. Regular and Chaotic Dynamics, 22(4), 353-367. https://doi.org/10.1134/S1560354717040025

Vancouver

Tsiganov AV. Integrable discretization and deformation of the nonholonomic Chaplygin ball. Regular and Chaotic Dynamics. 2017 Июль 1;22(4):353-367. https://doi.org/10.1134/S1560354717040025

Author

Tsiganov, Andrey V. / Integrable discretization and deformation of the nonholonomic Chaplygin ball. в: Regular and Chaotic Dynamics. 2017 ; Том 22, № 4. стр. 353-367.

BibTeX

@article{52e1d2721f1a42518f68c68e4efdb2a8,
title = "Integrable discretization and deformation of the nonholonomic Chaplygin ball",
abstract = "The rolling of a dynamically balanced ball on a horizontal rough table without slipping was described by Chaplygin using Abel quadratures. We discuss integrable discretizations and deformations of this nonholonomic system using the same Abel quadratures. As a by-product one gets a new geodesic flow on the unit two-dimensional sphere whose additional integrals of motion are polynomials in the momenta of fourth order.",
keywords = "Abel quadratures, arithmetic of divisors, nonholonomic systems",
author = "Tsiganov, {Andrey V.}",
year = "2017",
month = jul,
day = "1",
doi = "10.1134/S1560354717040025",
language = "English",
volume = "22",
pages = "353--367",
journal = "Regular and Chaotic Dynamics",
issn = "1560-3547",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "4",

}

RIS

TY - JOUR

T1 - Integrable discretization and deformation of the nonholonomic Chaplygin ball

AU - Tsiganov, Andrey V.

PY - 2017/7/1

Y1 - 2017/7/1

N2 - The rolling of a dynamically balanced ball on a horizontal rough table without slipping was described by Chaplygin using Abel quadratures. We discuss integrable discretizations and deformations of this nonholonomic system using the same Abel quadratures. As a by-product one gets a new geodesic flow on the unit two-dimensional sphere whose additional integrals of motion are polynomials in the momenta of fourth order.

AB - The rolling of a dynamically balanced ball on a horizontal rough table without slipping was described by Chaplygin using Abel quadratures. We discuss integrable discretizations and deformations of this nonholonomic system using the same Abel quadratures. As a by-product one gets a new geodesic flow on the unit two-dimensional sphere whose additional integrals of motion are polynomials in the momenta of fourth order.

KW - Abel quadratures

KW - arithmetic of divisors

KW - nonholonomic systems

UR - http://www.scopus.com/inward/record.url?scp=85026852386&partnerID=8YFLogxK

U2 - 10.1134/S1560354717040025

DO - 10.1134/S1560354717040025

M3 - Article

AN - SCOPUS:85026852386

VL - 22

SP - 353

EP - 367

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

SN - 1560-3547

IS - 4

ER -

ID: 8432959