Overlap of Bounce Resonances and the Motion of Ions in a Trapped-Ion Mode
- 25 April 1977
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 38 (17) , 970-973
- https://doi.org/10.1103/physrevlett.38.970
Abstract
Motion near a separatrix (the boundary between closed and open orbits) is studied both theoretically and numerically for parameters appropriate to the dissipative trapped-ion mode. I observe disappearance of an invariant in a stochastic layer surrounding the separatrix, as a result of overlapping bounce resonances. The fraction of ions lying within the stochastic layer is large even for a mode of relatively small amplitude.Keywords
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