TY - JOUR
T1 - Quasipatterns in a model for chemical oscillations forced at multiple resonance frequencies
AU - Conway, Jessica Maral
AU - Riecke, Hermann
PY - 2007/11/21
Y1 - 2007/11/21
N2 - Multifrequency forcing of systems undergoing a Hopf bifurcation to spatially homogeneous oscillations is investigated. For weak forcing composed of frequencies near the 1 1, 1 2, and 1 3 resonances, such systems can be described systematically by a suitably extended complex Ginzburg-Landau equation. Weakly nonlinear analysis shows that, generically, the forcing function can be tuned such that resonant triad interactions with weakly damped modes stabilize subharmonic 4- and 5-mode quasipatterns. In simulations starting from random initial conditions, domains of these quasipatterns compete and yield complex, slowly ordering patterns.
AB - Multifrequency forcing of systems undergoing a Hopf bifurcation to spatially homogeneous oscillations is investigated. For weak forcing composed of frequencies near the 1 1, 1 2, and 1 3 resonances, such systems can be described systematically by a suitably extended complex Ginzburg-Landau equation. Weakly nonlinear analysis shows that, generically, the forcing function can be tuned such that resonant triad interactions with weakly damped modes stabilize subharmonic 4- and 5-mode quasipatterns. In simulations starting from random initial conditions, domains of these quasipatterns compete and yield complex, slowly ordering patterns.
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U2 - 10.1103/PhysRevLett.99.218301
DO - 10.1103/PhysRevLett.99.218301
M3 - Article
AN - SCOPUS:36348989530
SN - 0031-9007
VL - 99
JO - Physical review letters
JF - Physical review letters
IS - 21
M1 - 218301
ER -