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Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion. / Tsiganov, A. V.

In: Regular and Chaotic Dynamics, Vol. 14, No. 4-5, 2009, p. 541-549.

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

Harvard

Tsiganov, AV 2009, 'Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion', Regular and Chaotic Dynamics, vol. 14, no. 4-5, pp. 541-549. https://doi.org/10.1134/S1560354709040108

APA

Tsiganov, A. V. (2009). Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion. Regular and Chaotic Dynamics, 14(4-5), 541-549. https://doi.org/10.1134/S1560354709040108

Vancouver

Tsiganov AV. Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion. Regular and Chaotic Dynamics. 2009;14(4-5):541-549. https://doi.org/10.1134/S1560354709040108

Author

Tsiganov, A. V. / Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion. In: Regular and Chaotic Dynamics. 2009 ; Vol. 14, No. 4-5. pp. 541-549.

BibTeX

@article{053d87e951fa422f8645df8bf5c606db,
title = "Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion",
abstract = "We discuss some special classes of canonical transformations of the time variable, which relate different integrable systems. Such dual systems have different integrals of motion, Lax equations, separated variables and bi-hamiltonian structures. As an example the two-dimensional periodic Toda lattices associated with the classical root systems and the dual natural systems on the palne are considered in detail.",
author = "Tsiganov, {A. V.}",
year = "2009",
doi = "10.1134/S1560354709040108",
language = "English",
volume = "14",
pages = "541--549",
journal = "Regular and Chaotic Dynamics",
issn = "1560-3547",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "4-5",

}

RIS

TY - JOUR

T1 - Change of the time for the periodic Toda lattices and natural systems on the plane with higher order integrals of motion

AU - Tsiganov, A. V.

PY - 2009

Y1 - 2009

N2 - We discuss some special classes of canonical transformations of the time variable, which relate different integrable systems. Such dual systems have different integrals of motion, Lax equations, separated variables and bi-hamiltonian structures. As an example the two-dimensional periodic Toda lattices associated with the classical root systems and the dual natural systems on the palne are considered in detail.

AB - We discuss some special classes of canonical transformations of the time variable, which relate different integrable systems. Such dual systems have different integrals of motion, Lax equations, separated variables and bi-hamiltonian structures. As an example the two-dimensional periodic Toda lattices associated with the classical root systems and the dual natural systems on the palne are considered in detail.

UR - http://www.scopus.com/inward/record.url?scp=70249132554&partnerID=8YFLogxK

U2 - 10.1134/S1560354709040108

DO - 10.1134/S1560354709040108

M3 - Article

AN - SCOPUS:70249132554

VL - 14

SP - 541

EP - 549

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

SN - 1560-3547

IS - 4-5

ER -

ID: 8585809