Perturbed pendulum-like motions of a rigid body about a fixed point
Chaotic Dynamics
2012-12-11 v1
Abstract
This paper is devoted to a detailed investigation of the perturbed pendulum-like motions of a heavy rigid body about a fixed point. Canonical variables that allow one to simplify the analysis of homoclinic and heteroclinic orbits are introduced. Characteristic properties of perturbed pendulum-like motions of the body in inertial space are studied. A qualitative description of asymptotics of pendulum-like motions in a neighbourhood of split separatrices is given.
Keywords
Cite
@article{arxiv.1212.1848,
title = {Perturbed pendulum-like motions of a rigid body about a fixed point},
author = {Igor N. Gashenenko},
journal= {arXiv preprint arXiv:1212.1848},
year = {2012}
}
Comments
12 pages, 5 figures, 1 table