177 citations · 1.8k across the 103 of their papers we have counts for
28 papers · 1 filter
How sticky is the chaos/order boundary?
Carl P. Dettmann
In dynamical systems with divided phase space, the vicinity of the boundary between regular and chaotic regions is often "sticky," that is, trapping orbits from the chaotic region…
Crises in a dissipative Bouncing ball model
André L. P. Livorati, Iberê L. Caldas, Carl P. Dettmann +1
The dynamics of a bouncing ball model under the influence of dissipation is investigated by using a two dimensional nonlinear mapping. When high dissipation is considered, the dyna…
Diffusion in the Lorentz gas
Carl P. Dettmann
The Lorentz gas, a point particle making mirror-like reflections from an extended collection of scatterers, has been a useful model of deterministic diffusion and related statistic…
Survival Probability for Open Spherical Billiards
Carl P. Dettmann, Mohammed R. Rahman
We study the survival probability for long times in an open spherical billiard, extending previous work on the circular billiard. We provide details of calculations regarding two b…
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…
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…