Dynamical models underpin our ability to understand and predict the behaviour of natural
systems. Whether dynamical models are developed from first-principles derivations or from …

Experiments on periodically oscillating arrays consisting of from one to 64 nickel electrodes
in sulfuric acid are carried out. Harmonic and relaxation oscillations that occur respectively …

We analyze the dynamical evolution of the current and the charge density in a superlattice
for fixed external dc voltage in the regime of self-sustained current oscillations, using a …

Current understanding and open questions concerning formation and motion of temperature
fronts and patterns in packed-bed reactors and on single catalytic pellets are reviewed. For …

We are concerned with an activator-inhibitor reaction-diffusion system with global coupling
effect, which is proposed by Krischer and Mikhailov [Phys. Rev. Lett., 73 (1994), pp. 3165 …

We present a general method for studying front propagation in nonlinear systems with a
global constraint in the language of hybrid tank models. The method is illustrated in the case …

We present a scheme to stabilize high-frequency domain oscillations in semiconductor
superlattices by a time-delayed feedback loop. Applying concepts from chaos control theory …

Global interaction introduces a new mode of communication among all surface elements
and may lead to the formation of a very rich variety of spatiotemporal patterns on a disk …

Experimental results on spatiotemporal pattern formation on a ring electrode during the
oscillatory electrodissolution of cobalt in 1.0 M phosphoric acid are reported; the ring is the …

Global interaction refers to a nonlocal mode of information exchange (coupling) between the
local states on a surface. Global interaction may produce a very rich class of spatiotemporal …