|
|
|
Article
Note on invariants for uncoupled Ermakov systems
| Authors: |
Thylwe, K.-E. |
| Document Type: |
Article |
| Pubstate: |
Published |
| Journal: |
J. Phys. A: Math. Gen |
| Volume: |
35
4359-4362 |
| Year: |
2002 |
AbstractSeveral invariants for an Ermakov system consisting of a parametric oscillator and a Milne oscillator in one dimension are derived. This system appears in amplitude-phase analysis of parametric oscillator solutions. First- and second-order invariants for such a system are derived using the Wronskian relations of a fundamental pair of parametric oscillator solutions. In this way Wronskian invariants of the parametric oscillator system alone imply Ermakov-Lewis type invariants for the combined Ermakov system, as well as invariants for the Milne system alone.
|
|
