Abstract
In driven oscillators, examples are shown that every boundary point of one basin is on the boundary of the two remaining basins and all three boundaries of these basins coincide. When there are more than five basins of attraction, is it possible that every boundary point of one basin is on the boundary of other basins? Is it possible that all basin boundaries coincide? This paper describes some numerical experiments giving evidence of seven Wada basin boundaries and all seven basin boundaries coincide for a driven shallow arch oscillator. The results are verified by the basin cell theory. It suggests that small noises can lead to final state sensitivity and uncertain dynamics in the driven oscillator.
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