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Properties of the canonical transformations of the time for the Toda lattice and the Henon-Heiles system. / Tsiganov, A. V.

в: Journal of Physics A: Mathematical and General, Том 33, № 26, 07.07.2000, стр. 4825-4835.

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

Harvard

Tsiganov, AV 2000, 'Properties of the canonical transformations of the time for the Toda lattice and the Henon-Heiles system', Journal of Physics A: Mathematical and General, Том. 33, № 26, стр. 4825-4835. https://doi.org/10.1088/0305-4470/33/26/308

APA

Tsiganov, A. V. (2000). Properties of the canonical transformations of the time for the Toda lattice and the Henon-Heiles system. Journal of Physics A: Mathematical and General, 33(26), 4825-4835. https://doi.org/10.1088/0305-4470/33/26/308

Vancouver

Tsiganov AV. Properties of the canonical transformations of the time for the Toda lattice and the Henon-Heiles system. Journal of Physics A: Mathematical and General. 2000 Июль 7;33(26):4825-4835. https://doi.org/10.1088/0305-4470/33/26/308

Author

Tsiganov, A. V. / Properties of the canonical transformations of the time for the Toda lattice and the Henon-Heiles system. в: Journal of Physics A: Mathematical and General. 2000 ; Том 33, № 26. стр. 4825-4835.

BibTeX

@article{c2d10e7d3f684ad6bd660f49aff1dc34,
title = "Properties of the canonical transformations of the time for the Toda lattice and the Henon-Heiles system",
abstract = "For the Toda lattice and the Henon-Heiles system we consider properties of the canonical transformations of the extended phase space, which preserve integrability. At the special values of integrals of motion the integral trajectories, separated variables and the action variables are invariant under change of the time. On the other hand, mapping of the time induces a shift of the generating function of the B{\"a}cklund transformation.",
author = "Tsiganov, {A. V.}",
year = "2000",
month = jul,
day = "7",
doi = "10.1088/0305-4470/33/26/308",
language = "English",
volume = "33",
pages = "4825--4835",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "26",

}

RIS

TY - JOUR

T1 - Properties of the canonical transformations of the time for the Toda lattice and the Henon-Heiles system

AU - Tsiganov, A. V.

PY - 2000/7/7

Y1 - 2000/7/7

N2 - For the Toda lattice and the Henon-Heiles system we consider properties of the canonical transformations of the extended phase space, which preserve integrability. At the special values of integrals of motion the integral trajectories, separated variables and the action variables are invariant under change of the time. On the other hand, mapping of the time induces a shift of the generating function of the Bäcklund transformation.

AB - For the Toda lattice and the Henon-Heiles system we consider properties of the canonical transformations of the extended phase space, which preserve integrability. At the special values of integrals of motion the integral trajectories, separated variables and the action variables are invariant under change of the time. On the other hand, mapping of the time induces a shift of the generating function of the Bäcklund transformation.

UR - http://www.scopus.com/inward/record.url?scp=0034616890&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/33/26/308

DO - 10.1088/0305-4470/33/26/308

M3 - Article

AN - SCOPUS:0034616890

VL - 33

SP - 4825

EP - 4835

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 26

ER -

ID: 8483719