TY - JOUR
T1 - Escape through a time-dependent hole in the doubling map
AU - Livorati, Andre
AU - Georgiou, Orestis
AU - Dettmann, Carl P.
AU - Leonel, Edson D.
PY - 2014/5/23
Y1 - 2014/5/23
N2 - We investigate the escape dynamics of the doubling map with a time-periodic hole. Ulam's method was used to calculate the escape rate as a function of the control parameters. We consider two cases, oscillating or breathing holes, where the sides of the hole are moving in or out of phase respectively. We find out that the escape rate is well described by the overlap of the hole with its images, for holes centered at periodic orbits.
AB - We investigate the escape dynamics of the doubling map with a time-periodic hole. Ulam's method was used to calculate the escape rate as a function of the control parameters. We consider two cases, oscillating or breathing holes, where the sides of the hole are moving in or out of phase respectively. We find out that the escape rate is well described by the overlap of the hole with its images, for holes centered at periodic orbits.
UR - http://www.scopus.com/inward/record.url?scp=84901348462&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.89.052913
DO - 10.1103/PhysRevE.89.052913
M3 - Article (Academic Journal)
C2 - 25353867
AN - SCOPUS:84901348462
VL - 89
JO - Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 5
M1 - 052913
ER -