Winding number locking on a two-dimensional torus : synchronization of quasiperiodic motions
- We propose a new autonomous dynamical system of dimension N=4 that demonstrates the regime of stable two- frequency motions and period-doubling bifurcations of a two-dimensional torus. It is shown that the period-doubling bifurcation of the two-dimensional torus is not followed by the resonance phenomenon, and the two-dimensional ergodic torus undergoes a period-doubling bifurcation. The interaction of two generators is also analyzed. The phenomenon of external and mutual synchronization of two-frequency oscillations is observed, for which winding number locking on a two- dimensional torus takes place
| Author details: | Vadim S. Anishchenko, S Nikolaev, Jürgen KurthsORCiDGND |
|---|---|
| URL: | http://pre.aps.org/ |
| DOI: | https://doi.org/10.1103/Physreve.73.056202 |
| ISSN: | 1539-3755 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2006 |
| Publication year: | 2006 |
| Release date: | 2017/03/24 |
| Source: | Physical review / e. ISSN 1539-3755. - 73 (2006), 5, Art. 056202 Part 2 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
| Institution name at the time of the publication: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik |
