Turbulent fronts in resonantly forced oscillatory systems.

Front explosion in a periodically forced surface reaction.

Resonantly forced oscillatory reaction-diffusion systems can exhibit fronts with complicated interfacial structure separating phase-locked homogeneous states. For values of the forcing amplitude below a critical value the front "explodes" and the width of the interfacial zone grows without bound. Such front explosion phenomena are investigated for a realistic model of catalytic CO oxidation on ...

Front explosion in a resonantly forced complex Ginzburg–Landau system

Periodically forced oscillatory reaction–diffusion systems near the Hopf bifurcation can be modeled by the resonantly forced complex Ginzburg–Landau equation. In the 3:1 resonant locking regime this equation has three stable fixed points corresponding to the phase-locked states in the underlying reaction–diffusion system. Phase fronts separate spatial domains containing the phase-locked states....

Resonantly forced inhomogeneous reaction-diffusion systems.

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...

Multiphase patterns in periodically forced oscillatory systems.

Periodic forcing of an oscillatory system produces frequency locking bands within which the system frequency is rationally related to the forcing frequency. We study extended oscillatory systems that respond to uniform periodic forcing at one quarter of the forcing frequency (the 4:1 resonance). These systems possess four coexisting stable states, corresponding to uniform oscillations with succ...

Trapping of phase fronts and twisted spirals in periodically forced oscillatory media