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Regular and Chaotic Dynamics, 1999, Volume 4, Issue 3, Pages 13–20
DOI: https://doi.org/10.1070/RD1999v004n03ABEH000111 (Mi rcd907) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Kovalevskaya Exponents and Poisson Structures

A. V. Borisov, S. L. Dudoladov

Faculty of Mechanics and Mathematics, Department of Theoretical Mechanics, Moscow State University, Vorobievy gory, Moscow, 119899, Russia
Citations (13)
DOI: https://doi.org/10.1070/RD1999v004n03ABEH000111
Abstract: We consider generalizations of pairing relations for Kovalevskaya exponents in quasihomogeneous systems with quasihomogeneous tensor invariants. The case of presence of a Poisson structure in the system is investigated in more detail. We give some examples which illustrate general theorems.
Received: 30.09.1999
Bibliographic databases:
Document Type: Article
MSC: 34G20, 34L40
Language: English
Citation: A. V. Borisov, S. L. Dudoladov, “Kovalevskaya Exponents and Poisson Structures”, Regul. Chaotic Dyn., 4:3 (1999), 13–20
Citation in format AMSBIB
\Bibitem{BorDud99}
\by A. V. Borisov, S. L. Dudoladov
\paper Kovalevskaya Exponents and Poisson Structures
\jour Regul. Chaotic Dyn.
\yr 1999
\vol 4
\issue 3
\pages 13--20
\mathnet{http://mi.mathnet.ru/rcd907}
\crossref{https://doi.org/10.1070/RD1999v004n03ABEH000111}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1777874}
\zmath{https://zbmath.org/?q=an:1012.37032}
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    • This publication is cited in the following 13 articles:
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