time-dependent circular billiard
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ID: 159537
2009
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Abstract
We investigate a time-dependent circular billiard with a two-frequency driving function and derive a new simplified form for the map, which is a symplectic nontwist map. Stability boundaries
and reconnection thresholds are derived for fixed points and period-two vortex pairs. An island
interspersal condition is derived such that neighboring island chains of the first frequency are exactly
separated by those of the second. The results show a strong enhancement of the KAM barrier to
chaotic diffusion with increasing second frequency content and overall amplitude.
| Reference Key |
howard2009mathematicaltime-dependent
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|---|---|
| Authors | ;J. E. Howard |
| Journal | journal of power sources |
| Year | 2009 |
| DOI |
10.1155/2009/531024
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| URL | |
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