TY  - JOUR
A1  - Baptista, Murilo da Silva
A1  - Kraut, Suso
A1  - Grebogi, Celso
T1  - Poincare recurrence and measure of hyperbolic and nonhyperbolic chaotic attractors
N2  - We study Poincare recurrence of chaotic attractors for regions of finite size. Contrary to the standard case, where the size of the recurrent regions tends to zero, the measure is no longer supported solely by unstable periodic orbits of finite length inside it, but also by other special recurrent trajectories, located outside that region. The presence of the latter leads to a deviation of the distribution of the Poincare first return times from a Poissonian. Consequently, by taking into account the contribution of these special recurrent trajectories, a corrected estimate of the measure is obtained. This has wide experimental implications, as in the laboratory all returns can exclusively be observed for regions of finite size, and only unstable periodic orbits of finite length can be detected
Y1  - 2005
SN  - 0031-9007
ER  - 
TY  - JOUR
A1  - Kraut, Suso
A1  - Feudel, Ulrike
A1  - Grebogi, Celso
T1  - Preference of attractors in noisy multistable systems
Y1  - 1999
ER  -