Quasi-Patterns in a Model of Multi-Resonantly Forced Chemical Oscillations

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dc.creatorConway, Jessica
dc.creatorRiecke, Hermann
dc.date2007-03-28
dc.date.accessioned2026-07-07T07:55:09Z
dc.date.available2026-07-07T07:55:09Z
dc.descriptionMulti-frequency forcing of systems undergoing a Hopf bifurcation to spatially homogeneous oscillations is investigated using a complex Ginzburg-Landau equation that systematically captures weak forcing functions that simultaneously hit the 1:1-, the 1:2-, and the 1:3-resonance. Weakly nonlinear analysis shows that generically the forcing function can be tuned such that resonant triad interactions with weakly damped modes stabilize subharmonic quasipatterns with 4-fold and 5-fold rotational symmetry. In simulations starting from random initial conditions domains of these quasi-patterns compete and yield complex, slowly ordering patterns.
dc.identifierhttps://arxiv.org/abs/nlin/0703059
dc.identifierhttp://arxiv.org/abs/nlin/0703059
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126871
dc.subjectPattern Formation and Solitons
dc.titleQuasi-Patterns in a Model of Multi-Resonantly Forced Chemical Oscillations
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