45 citations · 109 across the 11 of their papers we have counts for
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nlin.CD2013★ 14 cited
Escape through a time-dependent hole in the doubling map
André L. P. Livorati, Orestis Georgiou, Carl P. Dettmann +1
We investigate the escape dynamics of the doubling map with a time-periodic hole. We use Ulam's method to calculate the escape rate as a function of the control parameters. We cons…
nlin.CD2013★ 9 cited
Separation of particles leading to decay and unlimited growth of energy in a driven stadium-like billiard
André L. P. Livorati, Matheus S. Palmero, Carl P. Dettmann +2
A competition between decay and growth of energy in a time-dependent stadium billiard is discussed giving emphasis in the decay of energy mechanism. A critical resonance velocity i…