Attractor-repeller collision and eyelet intermittency at the transition to phase synchronization
- The chaotically driven circle map is considered as the simplest model ofphase synchronization of a chaotic continuous-time oscillator by external periodic force. The phase dynamics is analyzed via phase-locking regions of the periodic cycles embedded in the strange attractor. It is shown that full synchronization, where all the periodic cycles are phase locked, disappears via the attractor-repeller collision. Beyond the transition an intermittent regime with exponentially rare phase slips, resulting from the trajectory's hits on an eyelet, is observed.
| Author details: | Grigory V. OsipovORCiDGND, Michael RosenblumORCiDGND, Arkadij PikovskijORCiDGND, Michael A. ZaksORCiDGND, Jürgen KurthsORCiDGND |
|---|---|
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 1997 |
| Publication year: | 1997 |
| Release date: | 2017/03/24 |
| Source: | Physical review letters. - 79 (1997), 1, S. 47 - 50 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Institution name at the time of the publication: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik |
