2007/03/28 by Jessica M. Conway, Jessica Conway, Conway, Jessica +2
Computer Science · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Liquid Crystal Research Advancements #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Pattern Formation and Solitons (nlin.PS) #nlin.PS
paper · pdf · doi:10.48550/arxiv.nlin/0703059
arxiv created 2007/03/28 · openalex publication_date 2007/03/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Multi-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.