Euler-Poisson Equations and Integrable Cases

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.

arXiv comment24 pages, 27 figures

References in corpus (1)

• On the case of Kovalevskaya and new examples of integrable conservative systems on S^2