On nonlinear motions of a Hamiltonian system in the case of external resonance (Q1853804)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On nonlinear motions of a Hamiltonian system in the case of external resonance |
scientific article; zbMATH DE number 1857350
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On nonlinear motions of a Hamiltonian system in the case of external resonance |
scientific article; zbMATH DE number 1857350 |
Statements
On nonlinear motions of a Hamiltonian system in the case of external resonance (English)
0 references
22 January 2003
0 references
A nonlinear conservative Hamiltonian system with one degree of freedom subjected to a small periodic perturbation with external resonance is considered. It is investigated the case of \(2\pi\)-periodic solutions bifurcation together with stability of bifurcating solutions. The normal forms method and KAM theory is used. The obtained results are applied to the problem of satellite planar motions in an elliptic orbit.
0 references
Hamiltonian system
0 references
periodic solutions
0 references
nonlinear oscillations
0 references
stability
0 references
perturbation with external resonance
0 references
normal forms
0 references
KAM theory
0 references
0 references
0.9212711
0 references
0.9173713
0 references
0.91062796
0 references
0.9078143
0 references
0.9061115
0 references
0.90202576
0 references
0.89750314
0 references
