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Note on invariants for uncoupled Ermakov systems
KTH, Superseded Departments, Mechanics.ORCID iD: 0000-0003-0149-341X
2002 (English)In: Journal of Physics A: Mathematical and General, ISSN 0305-4470, E-ISSN 1361-6447, Vol. 35, no 19, 4359-4362 p.Article in journal (Refereed) Published
Abstract [en]

Several 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 oscillator alone.

Place, publisher, year, edition, pages
2002. Vol. 35, no 19, 4359-4362 p.
Keyword [en]
oscillators
Identifiers
URN: urn:nbn:se:kth:diva-21597ISI: 000176009900018OAI: oai:DiVA.org:kth-21597DiVA: diva2:340295
Note
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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Thylwe, Karl-Erik

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