Phase synchronization of chaotic oscillations in terms of periodic orbits.
We consider phase synchronization of chaotic continuous-time oscillator by periodic external force. Phase-locking regions are defined for unstable periodic cycles embedded in chaos, and synchronization is described in terms of these regions. A special flow construction is used to derive a simple discrete-time model of the phenomenon. It allows to describe quantitatively the intermittency at the transition to phase synchronization. (c) 1997 American Institute of Physics.
Pikovsky
Arkady
A
Department of Physics, University of Potsdam, Am Neuen Palais, PF 601553, D-14415, Potsdam, Germany.
Zaks
Michael
M
Rosenblum
Michael
M
Osipov
Grigory
G
Kurths
Jurgen
J