title: Poincaré recurrence statistics as an indicator of chaos synchronization.
abstract: The dynamics of the autonomous and non-autonomous Rössler system is studied using the Poincaré recurrence time statistics. It is shown that the probability distribution density of Poincaré recurrences represents a set of equidistant peaks with the distance that is equal to the oscillation period and the envelope obeys an exponential distribution. The dimension of the spatially uniform Rössler attractor is estimated using Poincaré recurrence times. The mean Poincaré recurrence time in the non-autonomous Rössler system is locked by the external frequency, and this enables us to detect the effect of phase-frequency synchronization.
authors.affiliation: Department of Physics, Saratov State University, 83 Astrakhanskaya Street, Saratov 410012, Russia.
authors.forename: Yaroslav I
authors.initials: YI
authors.lastname: Boev
authors.affiliation: Department of Physics, Saratov State University, 83 Astrakhanskaya Street, Saratov 410012, Russia.
authors.forename: Tatiana E
authors.initials: TE
authors.lastname: Vadivasova
authors.affiliation: Department of Physics, Saratov State University, 83 Astrakhanskaya Street, Saratov 410012, Russia.
authors.forename: Vadim S
authors.initials: VS
authors.lastname: Anishchenko