Averaged number of visits.
We introduce a new indicator for dynamical systems, namely the averaged number of visits, to estimate the frequency of visits in small regions when a map is iterated up to the inverse of the measure of this region. We compute this quantity analytically and numerically for various systems and we show that it depends on the ergodic properties of the systems and on their topological properties, such as the presence of periodic points.
Haydn
N
N
Department of Mathematics, University of Southern California, Los Angeles, California 90089-1113, USA. nhaydn@math.usc.edu
Lunedei
E
E
Vaienti
S
S