Euler–Poisson Equations and Integrable Cases

    2001, Volume 6, Number 3, pp.  253-276

    Author(s): Borisov A. V., Mamaev I. S.

    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.
    Citation: Borisov A. V., Mamaev I. S., Euler–Poisson Equations and Integrable Cases, Regular and Chaotic Dynamics, 2001, Volume 6, Number 3, pp. 253-276

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