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On a family of integrable systems on S2with a cubic integral of motion. / Tsiganov, A. V.

In: Journal of Physics A: Mathematical and General, Vol. 38, No. 4, 28.01.2005, p. 921-927.

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

Harvard

Tsiganov, AV 2005, 'On a family of integrable systems on S2with a cubic integral of motion', Journal of Physics A: Mathematical and General, vol. 38, no. 4, pp. 921-927. https://doi.org/10.1088/0305-4470/38/4/011

APA

Tsiganov, A. V. (2005). On a family of integrable systems on S2with a cubic integral of motion. Journal of Physics A: Mathematical and General, 38(4), 921-927. https://doi.org/10.1088/0305-4470/38/4/011

Vancouver

Tsiganov AV. On a family of integrable systems on S2with a cubic integral of motion. Journal of Physics A: Mathematical and General. 2005 Jan 28;38(4):921-927. https://doi.org/10.1088/0305-4470/38/4/011

Author

Tsiganov, A. V. / On a family of integrable systems on S2with a cubic integral of motion. In: Journal of Physics A: Mathematical and General. 2005 ; Vol. 38, No. 4. pp. 921-927.

BibTeX

@article{b837ef10af2a486ca0604c0abd3d14c6,
title = "On a family of integrable systems on S2with a cubic integral of motion",
abstract = "We discuss a family of integrable systems on the sphere S2 with an additional third-order integral in momenta. This family contains the Coryachev-Chaplygin top, the Goryachev system, the system recently discovered by Dullin and Matveev, and two new integrable systems. On the non-physical sphere with zero radius all these systems are isomorphic to each other.",
author = "Tsiganov, {A. V.}",
year = "2005",
month = jan,
day = "28",
doi = "10.1088/0305-4470/38/4/011",
language = "English",
volume = "38",
pages = "921--927",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "4",

}

RIS

TY - JOUR

T1 - On a family of integrable systems on S2with a cubic integral of motion

AU - Tsiganov, A. V.

PY - 2005/1/28

Y1 - 2005/1/28

N2 - We discuss a family of integrable systems on the sphere S2 with an additional third-order integral in momenta. This family contains the Coryachev-Chaplygin top, the Goryachev system, the system recently discovered by Dullin and Matveev, and two new integrable systems. On the non-physical sphere with zero radius all these systems are isomorphic to each other.

AB - We discuss a family of integrable systems on the sphere S2 with an additional third-order integral in momenta. This family contains the Coryachev-Chaplygin top, the Goryachev system, the system recently discovered by Dullin and Matveev, and two new integrable systems. On the non-physical sphere with zero radius all these systems are isomorphic to each other.

UR - http://www.scopus.com/inward/record.url?scp=12944252212&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/38/4/011

DO - 10.1088/0305-4470/38/4/011

M3 - Article

AN - SCOPUS:12944252212

VL - 38

SP - 921

EP - 927

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 4

ER -

ID: 35926803