A relation in families of periodic solutions
✍ Scribed by M. Hénon
- Publisher
- Springer Netherlands
- Year
- 1977
- Tongue
- English
- Weight
- 596 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1572-9478
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📜 SIMILAR VOLUMES
One-parameter families of periodic solutions arising from equilibrium positions of an autonomous system are considered. It is shown that they may be divided into families of the first and second kind; families of one kind cannot be identical when continued as the parameter is varied. As a result, a
The problem of the existence of local one-parameter families of periodic motions (Lyapunov families) adjoining the position of equilibrium of reversible systems is investigated. In the most general situation, an analogue of the well-known Lyapunov theory is obtained. The bifurcation of the Lyapunov