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• W2952637108 abstract "A natural question of how the survival probability depends upon a position of a hole was seemingly never addressed in the theory of open dynamical systems. We found that this dependency could be very essential. The main results are related to the holes with equal sizes (measure) in the phase space of strongly chaotic maps. Take in each hole a periodic point of minimal period. Then the faster escape occurs through the hole where this minimal period assumes its maximal value. The results are valid for all finite times (starting with the minimal period) which is unusual in dynamical systems theory where typically statements are asymptotic when time tends to infinity. It seems obvious that the bigger the hole is the bigger is the escape through that hole. Our results demonstrate that generally it is not true, and that specific features of the dynamics may play a role comparable to the size of the hole." @default.
• W2952637108 created "2019-06-27" @default.
• W2952637108 creator A5021009981 @default.
• W2952637108 creator A5024615969 @default.
• W2952637108 date "2008-11-26" @default.
• W2952637108 modified "2023-09-26" @default.
• W2952637108 title "WHERE TO PLACE A HOLE TO ACHIEVE A MAXIMAL ESCAPE RATE." @default.
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• W2952637108 hasPublicationYear "2008" @default.
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