Doppler Effect of Nonlinear Waves and Superspirals in Oscillatory Media
| dc.creator | Brusch, Lutz | |
| dc.creator | Torcini, Alessandro | |
| dc.creator | Baer, Markus | |
| dc.date | 2003-02-12 | |
| dc.date.accessioned | 2026-07-07T02:49:39Z | |
| dc.date.available | 2026-07-07T02:49:39Z | |
| dc.description | Nonlinear waves emitted from a moving source are studied. A meandering spiral in a reaction-diffusion medium provides an example, where waves originate from a source exhibiting a back-and-forth movement in radial direction. The periodic motion of the source induces a Doppler effect that causes a modulation in wavelength and amplitude of the waves (``superspiral''). Using the complex Ginzburg-Landau equation, we show that waves subject to a convective Eckhaus instability can exhibit monotonous growth or decay as well as saturation of these modulations away from the source depending on the perturbation frequency. Our findings allow a consistent interpretation of recent experimental observations concerning superspirals and their decay to spatio-temporal chaos. | |
| dc.description | 4 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0302230 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0302230 | |
| dc.identifier | Phys. Rev. Lett. 91, 108302 (2003) | |
| dc.identifier | doi:10.1103/PhysRevLett.91.108302 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20879 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Chaotic Dynamics | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Doppler Effect of Nonlinear Waves and Superspirals in Oscillatory Media | |
| dc.type | text |