Quasipatterns in a model for chemical oscillations forced at multiple resonance frequencies

Jessica Maral Conway, Hermann Riecke

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Abstract

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.

Original languageEnglish (US)
Article number218301
JournalPhysical Review Letters
Volume99
Issue number21
DOIs
StatePublished - Nov 21 2007

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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