Euler-Poisson Equations and Integrable Cases

2005/02/15 by A. V. Borisov, I. S. Mamaev
Physics and Astronomy · #nlin.CD #nlin.SI

paper · pdf

published as Regular and Chaotic Dynamics, 2001 Volume 6 Number 3 · 24 pages, 27 figures

arxiv created 2005/02/15 · arxiv updated 2009/12/01

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.

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