Resonantly Forced Inhomogeneous Reaction-Diffusion Systems
摘要
The dynamics of spatiotemporal patterns in oscillatory reaction-diffusion systems subject to periodic forcing with a spatially random forcing amplitude field are investigated. Quenched disorder is studied using the resonantly forced complex Ginzburg-Landau equation in the 3:1 resonance regime. Front roughening and spontaneous nucleation of target patterns are observed and characterized. Time dependent spatially varying forcing fields are studied in the 3:1 forced FitzHugh-Nagumo system. The periodic variation of the spatially random forcing amplitude breaks the symmetry among the three quasi-homogeneous states of the system, making the three types of fronts separating phases inequivalent. The resulting inequality in the front velocities leads to the formation of ``compound fronts'' with velocities lying between those of the individual component fronts, and ``pulses'' which are analogous structures arising from the combination of three fronts. Spiral wave dynamics is studied in systems with compound fronts.
引用
@article{arxiv.nlin/0008035,
title = {Resonantly Forced Inhomogeneous Reaction-Diffusion Systems},
author = {C. J. Hemming and R. Kapral},
journal= {arXiv preprint arXiv:nlin/0008035},
year = {2009}
}
备注
14 pages, 19 figures, to be published in CHAOS. This replacement has some minor changes in layout for purposes of neatness