Perturbed pendulum-like motions of a rigid body about a fixed point
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2012
- DOI:
- 10.48550/arXiv.1212.1848
- arXiv:
- arXiv:1212.1848
- Bibcode:
- 2012arXiv1212.1848G
- Keywords:
-
- Nonlinear Sciences - Chaotic Dynamics;
- 70E17;
- 70E20;
- 34C37
- E-Print:
- 12 pages, 5 figures, 1 table