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Hamiltonization and Separation of Variables for a Chaplygin Ball on a Rotating Plane. / Tsiganov, Andrey V.

In: Regular and Chaotic Dynamics, Vol. 24, No. 2, 01.03.2019, p. 171-186.

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

Harvard

Tsiganov, AV 2019, 'Hamiltonization and Separation of Variables for a Chaplygin Ball on a Rotating Plane', Regular and Chaotic Dynamics, vol. 24, no. 2, pp. 171-186. https://doi.org/10.1134/S1560354719020035

APA

Tsiganov, A. V. (2019). Hamiltonization and Separation of Variables for a Chaplygin Ball on a Rotating Plane. Regular and Chaotic Dynamics, 24(2), 171-186. https://doi.org/10.1134/S1560354719020035

Vancouver

Tsiganov AV. Hamiltonization and Separation of Variables for a Chaplygin Ball on a Rotating Plane. Regular and Chaotic Dynamics. 2019 Mar 1;24(2):171-186. https://doi.org/10.1134/S1560354719020035

Author

Tsiganov, Andrey V. / Hamiltonization and Separation of Variables for a Chaplygin Ball on a Rotating Plane. In: Regular and Chaotic Dynamics. 2019 ; Vol. 24, No. 2. pp. 171-186.

BibTeX

@article{f7c55ce41e854b78846ca954e87a2eee,
title = "Hamiltonization and Separation of Variables for a Chaplygin Ball on a Rotating Plane",
abstract = " We discuss a non-Hamiltonian vector field appearing in considering the partial motion of a Chaplygin ball rolling on a horizontal plane which rotates with constant angular velocity. In two partial cases this vector field is expressed via Hamiltonian vector fields using a nonalgebraic deformation of the canonical Poisson bivector on e * (3). For the symmetric ball we also calculate variables of separation, compatible Poisson brackets, the algebra of Haantjes operators and 2 × 2 Lax matrices. ",
keywords = "37J35, 37J60, 53D17, 70E18, Chaplygin ball, nonholonomic mechanics, separation of variables, DYNAMICS",
author = "Tsiganov, {Andrey V.}",
note = "Tsiganov, A.V. Regul. Chaot. Dyn. (2019) 24: 171. https://doi.org/10.1134/S1560354719020035",
year = "2019",
month = mar,
day = "1",
doi = "10.1134/S1560354719020035",
language = "English",
volume = "24",
pages = "171--186",
journal = "Regular and Chaotic Dynamics",
issn = "1560-3547",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "2",

}

RIS

TY - JOUR

T1 - Hamiltonization and Separation of Variables for a Chaplygin Ball on a Rotating Plane

AU - Tsiganov, Andrey V.

N1 - Tsiganov, A.V. Regul. Chaot. Dyn. (2019) 24: 171. https://doi.org/10.1134/S1560354719020035

PY - 2019/3/1

Y1 - 2019/3/1

N2 - We discuss a non-Hamiltonian vector field appearing in considering the partial motion of a Chaplygin ball rolling on a horizontal plane which rotates with constant angular velocity. In two partial cases this vector field is expressed via Hamiltonian vector fields using a nonalgebraic deformation of the canonical Poisson bivector on e * (3). For the symmetric ball we also calculate variables of separation, compatible Poisson brackets, the algebra of Haantjes operators and 2 × 2 Lax matrices.

AB - We discuss a non-Hamiltonian vector field appearing in considering the partial motion of a Chaplygin ball rolling on a horizontal plane which rotates with constant angular velocity. In two partial cases this vector field is expressed via Hamiltonian vector fields using a nonalgebraic deformation of the canonical Poisson bivector on e * (3). For the symmetric ball we also calculate variables of separation, compatible Poisson brackets, the algebra of Haantjes operators and 2 × 2 Lax matrices.

KW - 37J35

KW - 37J60

KW - 53D17

KW - 70E18

KW - Chaplygin ball

KW - nonholonomic mechanics

KW - separation of variables

KW - DYNAMICS

UR - http://www.scopus.com/inward/record.url?scp=85064257548&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/hamiltonization-separation-variables-chaplygin-ball-rotating-plane

U2 - 10.1134/S1560354719020035

DO - 10.1134/S1560354719020035

M3 - Article

AN - SCOPUS:85064257548

VL - 24

SP - 171

EP - 186

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

SN - 1560-3547

IS - 2

ER -

ID: 41161951