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Integrability of Nonholonomic Heisenberg Type Systems. / Grigoryev, Yury A.; Sozonov, Alexey P.; Tsiganov, Andrey V.

In: Symmetry, Integrability and Geometry - Methods and Applications, Vol. 12, 2016.

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

Harvard

Grigoryev, YA, Sozonov, AP & Tsiganov, AV 2016, 'Integrability of Nonholonomic Heisenberg Type Systems', Symmetry, Integrability and Geometry - Methods and Applications, vol. 12. https://doi.org/10.3842/SIGMA.2016.112

APA

Grigoryev, Y. A., Sozonov, A. P., & Tsiganov, A. V. (2016). Integrability of Nonholonomic Heisenberg Type Systems. Symmetry, Integrability and Geometry - Methods and Applications, 12. https://doi.org/10.3842/SIGMA.2016.112

Vancouver

Grigoryev YA, Sozonov AP, Tsiganov AV. Integrability of Nonholonomic Heisenberg Type Systems. Symmetry, Integrability and Geometry - Methods and Applications. 2016;12. https://doi.org/10.3842/SIGMA.2016.112

Author

Grigoryev, Yury A. ; Sozonov, Alexey P. ; Tsiganov, Andrey V. / Integrability of Nonholonomic Heisenberg Type Systems. In: Symmetry, Integrability and Geometry - Methods and Applications. 2016 ; Vol. 12.

BibTeX

@article{d6271a44d62646dcb8767dea3d5f6da9,
title = "Integrability of Nonholonomic Heisenberg Type Systems",
abstract = "We show that some modern geometric methods of Hamiltonian dynamics can be directly applied to the nonholonomic Heisenberg type systems. As an example we present characteristic Killing tensors, compatible Poisson brackets, Lax matrices and classical rr-matrices for the conformally Hamiltonian vector fields obtained in a process of reduction of Hamiltonian vector fields by a nonholonomic constraint associated with the Heisenberg system.",
keywords = "Hamiltonian dynamics, nonholonomic systems",
author = "Grigoryev, {Yury A.} and Sozonov, {Alexey P.} and Tsiganov, {Andrey V.}",
year = "2016",
doi = "10.3842/SIGMA.2016.112",
language = "English",
volume = "12",
journal = "Symmetry, Integrability and Geometry - Methods and Applications",
issn = "1815-0659",
publisher = "Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine",

}

RIS

TY - JOUR

T1 - Integrability of Nonholonomic Heisenberg Type Systems

AU - Grigoryev, Yury A.

AU - Sozonov, Alexey P.

AU - Tsiganov, Andrey V.

PY - 2016

Y1 - 2016

N2 - We show that some modern geometric methods of Hamiltonian dynamics can be directly applied to the nonholonomic Heisenberg type systems. As an example we present characteristic Killing tensors, compatible Poisson brackets, Lax matrices and classical rr-matrices for the conformally Hamiltonian vector fields obtained in a process of reduction of Hamiltonian vector fields by a nonholonomic constraint associated with the Heisenberg system.

AB - We show that some modern geometric methods of Hamiltonian dynamics can be directly applied to the nonholonomic Heisenberg type systems. As an example we present characteristic Killing tensors, compatible Poisson brackets, Lax matrices and classical rr-matrices for the conformally Hamiltonian vector fields obtained in a process of reduction of Hamiltonian vector fields by a nonholonomic constraint associated with the Heisenberg system.

KW - Hamiltonian dynamics

KW - nonholonomic systems

U2 - 10.3842/SIGMA.2016.112

DO - 10.3842/SIGMA.2016.112

M3 - Article

VL - 12

JO - Symmetry, Integrability and Geometry - Methods and Applications

JF - Symmetry, Integrability and Geometry - Methods and Applications

SN - 1815-0659

ER -

ID: 7638757