Doppler effect of nonlinear waves and superspirals in oscillatory media
Anno: 2003
Autori: Brusch L., Torcini A., Bar M.
Affiliazione autori: MPI for Physics of Complex Systems, Nothnitzer Strasse 38, 01187 Dresden, Germany;
Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy
Abstract: Nonlinear waves emitted from a moving source are studied. A meandering spiral in a reaction-diffusion medium provides an example in which waves originate from a source exhibiting a back-and-forth movement in a 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 direct simulations as well as numerical nonlinear analysis within the complex Ginzburg-Landau equation, we show that waves subject to a convective Eckhaus instability can exhibit monotonic growth or decay as well as saturation of these modulations depending on the perturbation frequency. Our findings elucidate recent experimental observations concerning superspirals and their decay to spatiotemporal chaos.
Giornale/Rivista: PHYSICAL REVIEW LETTERS
Volume: 91 (10) Da Pagina: 108302-1 A: 108302-4
Parole chiavi: Modulated Amplitude Waves; Ginzburg-landau Equation; Rotating Spiral Waves; Convective Instability; Eckhaus Instability; Excitable Media; Dynamics; Transition; Model; BreakupDOI: 10.1103/PhysRevLett.91.108302Citazioni: 24dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui
