Euler-Poisson Equations and Integrable Cases

Details Euler-Poisson Equations and Integrable Cases Euler-Poisson Equations and Integrable Cases

2005-02-15

arxiv.org/abs/nlin/0502030v1

Regular and Chaotic Dynamics, 2001 Volume 6 Number 3

Nonlinear Sciences

Chaotic Dynamics

24 pages, 27 figures

Scientific paper

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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