Phase Synchronization of Chaotic Rotators
- We demonstrate the existence of phase synchronization of two chaotic rotators. Contrary to phase synchronization of chaotic oscillators, here the Lyapunov exponents corresponding to both phases remain positive even in the synchronous regime. Such frequency locked dynamics with different ratios of frequencies are studied for driven continuous-time rotators and for discrete circle maps. We show that this transition to phase synchronization occurs via a crisis transition to a band-structured attractor.
| Author details: | Grigory V. OsipovORCiDGND, Arkadij PikovskijORCiDGND, Jürgen KurthsORCiDGND |
|---|---|
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2002 |
| Publication year: | 2002 |
| Release date: | 2017/03/24 |
| Source: | Physical Review Letters. - 88 (2002), 054102 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Institution name at the time of the publication: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik |
