PHASE SYNCHRONIZATION OF CHAOTIC OSCILLATIONS IN TERMS OF PERIODIC-ORBITS

We consider phase synchronization of chaotic continuous-time oscillato r by periodic external force. Phase-locking regions are defined for un stable periodic cycles embedded in chaos, and synchronization is descr ibed in terms of these regions. A special flow construction is used to derive a simple discrete-time model of tile phenomenon. It allows to describe quantitatively the intermittency at the transition to phase s ynchronization. (C) 1997 American Institute of Physics.