S. L. Ziglin, “First Integrals of Groups of Complex Linear Transformations and of Natural Mechanical Systems with Homogeneous Potential”, Mat. Zametki, 70:6 (2001), 839–844; Math. Notes, 70:6 (2001), 765

Loading [MathJax]/jax/output/SVG/config.js

Matematicheskie Zametki

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Forthcoming papers
	Archive
	Impact factor
	Guidelines for authors
	License agreement
	Submit a manuscript

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Mat. Zametki:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Matematicheskie Zametki, 2001, Volume 70, Issue 6, Pages 839–844
DOI: https://doi.org/10.4213/mzm796 (Mi mzm796)

This article is cited in 7 scientific papers (total in 7 papers)

First Integrals of Groups of Complex Linear Transformations and of Natural Mechanical Systems with Homogeneous Potential

S. L. Ziglin

Kotel'nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences

Full-text PDF (194 kB) Citations (7)

References:

PDF

HTML

DOI: https://doi.org/10.4213/mzm796

Abstract: We study the existence problem for rational first integrals of groups of complex linear transformations. The results obtained are used to study natural mechanical systems with homogeneous potential, in particular, the Suslov problem of motion of a rigid body about a fixed point under a nonholonomic constraint in the Kozlov case of zero constant energy.

Received: 10.11.2000

English version:
Mathematical Notes, 2001, Volume 70, Issue 6, Pages 765–770
DOI: https://doi.org/10.1023/A:1012955716667

Bibliographic databases:

UDC: 517.913

Language: Russian

Citation: S. L. Ziglin, “First Integrals of Groups of Complex Linear Transformations and of Natural Mechanical Systems with Homogeneous Potential”, Mat. Zametki, 70:6 (2001), 839–844; Math. Notes, 70:6 (2001), 765–770

Citation in format AMSBIB

\Bibitem{Zig01}

\by S.~L.~Ziglin

\paper First Integrals of Groups of Complex Linear Transformations and of Natural Mechanical Systems with Homogeneous Potential

\jour Mat. Zametki

\yr 2001

\vol 70

\issue 6

\pages 839--844

\mathnet{http://mi.mathnet.ru/mzm796}

\crossref{https://doi.org/10.4213/mzm796}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1887250}

\zmath{https://zbmath.org/?q=an:1025.37033}

\transl

\jour Math. Notes

\yr 2001

\vol 70

\issue 6

\pages 765--770

\crossref{https://doi.org/10.1023/A:1012955716667}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000173100200020}

Linking options:

https://www.mathnet.ru/eng/mzm796

https://doi.org/10.4213/mzm796

https://www.mathnet.ru/eng/mzm/v70/i6/p839

This publication is cited in the following 7 articles:

S. L. Ziglin, “On the absence of an additional real-analytic first integral in the problem of the motion of a dynamically symmetric heavy rigid body about a fixed point”, Funct. Anal. Appl., 58:3 (2024), 299–312
Zhang X., “Integrability of Dynamical Systems: Algebra and Analysis”, Integrability of Dynamical Systems: Algebra and Analysis, Developments in Mathematics, 47, Springer, 2017, 1–380
Casale G., Duval G., Maciejewski A.J., Przybylska M., “Integrability of Hamiltonian systems with homogeneous potentials of degree zero”, Physics Letters A, 374:3 (2010), 448–452
S. L. Ziglin, “Ob otsutstvii dopolnitelnogo meromorfnogo pervogo integrala v zadache Rimana o dvizhenii odnorodnogo zhidkogo ellipsoida”, Nelineinaya dinam., 6:3 (2010), 567–572
Ziglin S.L., “On the Absence of an Additional Meromorphic First Integral in the Riemann Problem on the Motion of a Homogeneous Liquid Ellipsoid”, Regul. Chaotic Dyn., 15:4-5 (2010), 630–633
Ziglin, SL, “The Nonintegrability of the Problem on the Motion of a Homogeneous Liquid Ellipsoid”, Doklady Physics, 54:7 (2009), 348
Morales-Ruiz, JJ, “ON THE MEROMORPHIC NON-INTEGRABILITY OF SOME N-BODY PROBLEMS”, Discrete and Continuous Dynamical Systems, 24:4 (2009), 1225

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	482
Full-text PDF :	214
References:	89
First page:	2

Registration to the website

Logotypes