Stability and motion in two degree of freedom hamiltonian systems for three-to-one commensurability
The stability of the origin and periodic orbits of autonomous Hamiltonian systems in which the Hamiltonian is indefinite and the relation between the frequencies ωP 1 and ω 2 of the linearized system is ω 1≈ 3ω 2 are investigated using the two time variable method. Bounds on the non-periodic motions...
Gespeichert in:
| Veröffentlicht in: | International journal of non-linear mechanics 1971-10, Vol.6 (5), p.563-568 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | The stability of the origin and periodic orbits of autonomous Hamiltonian systems in which the Hamiltonian is indefinite and the relation between the frequencies ωP
1 and ω
2 of the linearized system is ω
1≈ 3ω
2 are investigated using the two time variable method. Bounds on the non-periodic motions about the equilibrium point are also obtained. |
|---|---|
| ISSN: | 0020-7462 1878-5638 |
| DOI: | 10.1016/0020-7462(71)90020-5 |