Inserted perturbations generating asymptotical integrability
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We discuss the general opportunity to create (asymptotically) a completely integrable system from the original perturbed system by inserting additional perturbing terms. After such an artificial insertion, there appears an opportunity to make the secondary averaging and secondary reduction of the original system. Thus, in this way, the 3D-system becomes 1-dimensional. We demonstrate this approach by the example of a resonance Penning trap.
Keywordsintegrable systems perturbation reduction symmetry algebra frequency resonance Penning trap
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