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

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.

Keywords

Pattern Formation and Solitons

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/126871

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0703059
 http://arxiv.org/abs/nlin/0703059

Collections

arXiv