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 de...

We propose a simple model for reaction-diffusion systems with orientational constraints on the reactivity of particles, and map it onto a field theory with upper critical dimension dc52. To the two-loop level, long-time particle density N(t) is given by the same universal expression as for a nonsteric system, with N(t);t for d<2. For slow rotations of the particles we find an intermediate regim...

This paper proposes geometric Ricci–flow as a general model for reaction–diffusion systems and dissipative solitons in mathematical biology.