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Artikel
Note on invariants for uncoupled Ermakov systems
| Författare: |
Thylwe, K.-E. |
| Dokumenttyp: |
Artikel |
| Tillstånd: |
Publicerad |
| Tidskrift: |
J. Phys. A: Math. Gen |
| Volym: |
35
4359-4362 |
| År: |
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.
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