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This article is cited in 13 scientific papers (total in 13 papers)
150th anniversary of S.V. Kovalevskaya
A Brief History of Kovalevskaya Exponents and Modern Developments
A. Goriely University of Arizona,
Department of Mathematics,
and Program in Applied Mathematics,
Building 89, Tucson, AZ85721, USA
Abstract:
The Kovalevskaya exponents are sets of exponents that can be associated with a given nonlinear vector field. They correspond to the Fuchs' indices of the linearized vector field around particular scale invariant solutions. They were used by S.Kovalevskaya to prove the single-valuedness of the classical cases of integrability of the rigid body motion. In this paper, a history of the discovery and multiple re-discoveries of the Kovalevskaya exponents is given together with the modern use of Kovalevskaya exponents in integrability theory and nonlinear dynamics.
Received: 14.09.1999
Citation:
A. Goriely, “A Brief History of Kovalevskaya Exponents and Modern Developments”, Regul. Chaotic Dyn., 5:1 (2000), 3–15
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https://www.mathnet.ru/eng/rcd858 https://www.mathnet.ru/eng/rcd/v5/i1/p3
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