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Computation of the adiabatic invariant of the symmetric nonlinear oscillator ![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20210706075304419-0719:S0956792597003379:S0956792597003379_inline1.png?pub-status=live)
Published online by Cambridge University Press: 01 April 1998
Abstract
In a recent paper, the author showed that for certain symmetric bisuperlinear equations, cosine-like boundary behaviours will not yield symmetric solutions [1]. In this paper, we attack the adiabatic invariant problem by showing that, for these strongly nonlinear oscillators, the adiabatic invariant is intimately related to z′(0;∈) for a family of solutions.
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- Copyright © Cambridge University Press 1998