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Intrinsic stickiness and chaos in open integrable billiards: Tiny border effects

Intrinsic stickiness and chaos in open integrable billiards: Tiny border effects

Rounding border effects at the escape point of open integrable billiards are analyzed via the escape-time statistics and emission angles. The model is the rectangular billiard and the shape of the escape point is assumed to have a semicircular form. Stickiness, chaos, and self-similar structures for the escape times and …