Abstract
A perturbation analysis, using the method of normal forms, is applied to non-autonomous oscillatory systems described by equations in which the perturbation has an explicit periodic time dependence. The method is demonstrated on two examples: An equation encountered in circular particle accelerators and the equations for the density matrix elements in NMR. The effect of the small nonlinear perturbations as well as of resonance between the natural frequency of the unperturbed system and the periodic forcing terms is analyzed.
| Original language | English |
|---|---|
| Title of host publication | Dynamical Systems And Applications |
| Editors | R P Agarwal |
| Place of Publication | Singapore |
| Publisher | World Scientific |
| Pages | 359-374 |
| Number of pages | 16 |
| DOIs | |
| State | Published - 1995 |