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Properties of solutions for the generalized Euler‐Poisson equations
Author(s) -
Chynkulyak N.
Publication year - 2002
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/1617-7061(200203)1:1<119::aid-pamm119>3.0.co;2-b
Subject(s) - euler equations , mathematics , poisson distribution , euler's formula , mathematical analysis , equations of motion , constant (computer programming) , stability (learning theory) , lyapunov function , simultaneous equations , classical mechanics , physics , differential equation , nonlinear system , computer science , statistics , machine learning , programming language , quantum mechanics
The present paper deals with equations, which generalize the known Euler‐Poisson equations for the motion of a heavy rigid body about a fixed point. These equations arise in dynamics of systems of coupled rigid bodies. In these equations the generalized inertia tensor depends upon components of vertical vector, i.e. it is not constant. Our aim is to analyze Lyapunov stability of stationary solutions and orbital stability of periodic solutions of the equations under study.