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Canonical transformations of the extended phase space, Toda lattices and the Stäckel family of integrable systems. / Tsiganov, A. V.

в: Journal of Physics A: Mathematical and General, Том 33, № 22, 09.06.2000, стр. 4169-4182.

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

Harvard

Tsiganov, AV 2000, 'Canonical transformations of the extended phase space, Toda lattices and the Stäckel family of integrable systems', Journal of Physics A: Mathematical and General, Том. 33, № 22, стр. 4169-4182. https://doi.org/10.1088/0305-4470/33/22/318

APA

Tsiganov, A. V. (2000). Canonical transformations of the extended phase space, Toda lattices and the Stäckel family of integrable systems. Journal of Physics A: Mathematical and General, 33(22), 4169-4182. https://doi.org/10.1088/0305-4470/33/22/318

Vancouver

Tsiganov AV. Canonical transformations of the extended phase space, Toda lattices and the Stäckel family of integrable systems. Journal of Physics A: Mathematical and General. 2000 Июнь 9;33(22):4169-4182. https://doi.org/10.1088/0305-4470/33/22/318

Author

Tsiganov, A. V. / Canonical transformations of the extended phase space, Toda lattices and the Stäckel family of integrable systems. в: Journal of Physics A: Mathematical and General. 2000 ; Том 33, № 22. стр. 4169-4182.

BibTeX

@article{83178f46aba4471b91373f7402de034c,
title = "Canonical transformations of the extended phase space, Toda lattices and the St{\"a}ckel family of integrable systems",
abstract = "We consider some examples of canonical transformations of the extended phase space, which map a completely integrable system into another completely integrable system. The proposed transformations are closed to the known Maupertuis-Jacobi mappings and to the Kepler change of the time. Using the Kepler transformation we construct new integrable systems related to the Toda lattices and the St{\"a}ckel family of integrable systems.",
author = "Tsiganov, {A. V.}",
year = "2000",
month = jun,
day = "9",
doi = "10.1088/0305-4470/33/22/318",
language = "English",
volume = "33",
pages = "4169--4182",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "22",

}

RIS

TY - JOUR

T1 - Canonical transformations of the extended phase space, Toda lattices and the Stäckel family of integrable systems

AU - Tsiganov, A. V.

PY - 2000/6/9

Y1 - 2000/6/9

N2 - We consider some examples of canonical transformations of the extended phase space, which map a completely integrable system into another completely integrable system. The proposed transformations are closed to the known Maupertuis-Jacobi mappings and to the Kepler change of the time. Using the Kepler transformation we construct new integrable systems related to the Toda lattices and the Stäckel family of integrable systems.

AB - We consider some examples of canonical transformations of the extended phase space, which map a completely integrable system into another completely integrable system. The proposed transformations are closed to the known Maupertuis-Jacobi mappings and to the Kepler change of the time. Using the Kepler transformation we construct new integrable systems related to the Toda lattices and the Stäckel family of integrable systems.

UR - http://www.scopus.com/inward/record.url?scp=0034625195&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/33/22/318

DO - 10.1088/0305-4470/33/22/318

M3 - Article

AN - SCOPUS:0034625195

VL - 33

SP - 4169

EP - 4182

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 22

ER -

ID: 8483665