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This article is cited in 7 scientific papers (total in 7 papers)
Euler–Poisson Equations and Integrable Cases
A. V. Borisova, I. S. Mamaevb a Department of Theoretical Mechanics,
Moscow State University, Vorob'ievy Gory,
119899, Moscow, Russia
b Laboratory of Dynamical Chaos and Nonlinearity,
Udmurt State University, Universitetskaya, 1,
426034, Izhevsk, Russia
Abstract:
In this paper we propose a new approach to the study of integrable cases based on intensive computer methods' application. We make a new investigation of Kovalevskaya and Goryachev–Chaplygin cases of Euler–Poisson equations and obtain many new results in rigid body dynamics in absolute space. Also we present the visualization of some special particular solutions.
Received: 18.04.2001
Citation:
A. V. Borisov, I. S. Mamaev, “Euler–Poisson Equations and Integrable Cases”, Regul. Chaotic Dyn., 6:3 (2001), 253–276
Linking options:
https://www.mathnet.ru/eng/rcd844 https://www.mathnet.ru/eng/rcd/v6/i3/p253
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