A. V. Borisov, S. L. Dudoladov, “Kovalevskaya Exponents and Poisson Structures”, Regul. Chaotic Dyn., 4:3 (1999), 13

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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}

Linking options:

https://www.mathnet.ru/eng/rcd907

https://www.mathnet.ru/eng/rcd/v4/i3/p13

This publication is cited in the following 13 articles:

Hayato Chiba, “Weights, Kovalevskaya exponents and the Painlevé property”, Annales de l'Institut Fourier, 2023, 1
Borisov A. Mamaev I., “Rigid Body Dynamics”, Rigid Body Dynamics, de Gruyter Studies in Mathematical Physics, 52, Walter de Gruyter Gmbh, 2019, 1–520
A. P. Markeev, “On the Stability of the Regular Grioli Precession in a Particular Case”, Mech. Solids, 53:S2 (2018), 1
Andrzej J. Maciejewski, Maria Przybylska, “Global Properties of Kovalevskaya Exponents”, Regul. Chaotic Dyn., 22:7 (2017), 840–850
Hayato Chiba, “The first, second and fourth Painlevé equations on weighted projective spaces”, Journal of Differential Equations, 260:2 (2016), 1263
Hayato Chiba, “Kovalevskaya exponents and the space of initial conditions of a quasi-homogeneous vector field”, Journal of Differential Equations, 259:12 (2015), 7681
Alexey V. Borisov, Alexander A. Kilin, Ivan S. Mamaev, “Hamiltonicity and integrability of the Suslov problem”, Regul. Chaotic Dyn., 16:1 (2011), 104–116
A. V. Borisov, “Kompyuternaya vizualizatsiya dvizheniya negolonomnykh sistem”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2010, no. 1, 137–145
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Gamiltonovost i integriruemost zadachi Suslova”, Nelineinaya dinam., 6:1 (2010), 127–142
A. V. Borisov, I. S. Mamaev, “Conservation Laws, Hierarchy of Dynamics and Explicit Integration of Nonholonomic Systems”, Regul. Chaotic Dyn., 13:5 (2008), 443–490
A. V. Borisov, A. A. Kilin, I. S. Mamaev, “Chaos in a Restricted Problem of Rotation of a Rigid Body with a Fixed Point”, Regul. Chaotic Dyn., 13:3 (2008), 221–233
Diane M. Ring, “One Nation Among Many: Policy Implications of Cross-Border Tax Arbitrage”, SSRN Journal, 2003
Anatolii Petrov, Maxim Lobovikov, World Forests, 3, World Forests, Markets and Policies, 2001, 469

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

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