On Periodical Poincare Solutions of a Canonical System with One Degree of Freedom
Abstract
A canonical one-degree-of-freedom system which is close to the integrated one is considered. The Hamilton function of the system is assumed to be analytical in its arguments, and its disturbing part is periodic in time. The existence of periodic solutions of the disturbed system is shown by Poincaré's method. The solutions obtained follow Lyapunov's stability conditions.
- Publication:
-
Pisma v Astronomicheskii Zhurnal
- Pub Date:
- 1985
- Bibcode:
- 1985PAZh...11..634M