An exact invariant for a class of time-dependent anharmonic oscillators with cubic anharmonicity
- 1 March 1981
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 22 (3) , 465-470
- https://doi.org/10.1063/1.524932
Abstract
An exact invariant is constructed for a class of time-dependent anharmonic oscillators using the method of the Lie theory of extended groups. The presence of the anharmonic term imposes a constraint on the nature of the time dependence. For a subclass it is possible to obtain an energy-like integral and a condition under which the motion is bounded.Keywords
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