We investigate the behavior of localized spots in three spatial dimensions in a model two-variable system describing the Belousov-Zhabotinsky reaction in water-in-oil microemulsion. We find three types of instabilities: splitting of a single spot (i) into two spots, (ii) into a torus, and (iii) into an unstable shell that splits almost immediately to six or eight new spots.

We propose a simple method of simulating chemical reactions by using a multiset rewriting systems, the Abstract Rewriting System on Multisets (ARMS). We simulate the Oregonator model, a mathematical model of the Belousov-Zhabotinsky and We obtain the same behavior when the differential equations are used. We also investigate the Oregonator with large stochastic fluctuations and confirm that the...

We have studied the phase dynamics in an oscillatory chemical system (Belousov-Zhabotinsky reaction). The phase distribution and isophase lines in the 2D phase space were reconstructed. The dynamics proved to be well described in terms of the Burgers equation. The phase dependence of the coefficients of the equation was taken into account to estimate the region of the applicability of the Burge...

In a preceding paper [1] it was shown that Br02oscillations can be detected in the Belousov-Zhabotinsky-system by following the absorbanee in the spectral region from 400 to 600 nm. According to the theory given by Field, Koros and Noyes [2] for the BZ-system, Br02 is responsible for the autocatalvsis of the Ce3+/Br03~-reaction. For this reason we have tried to detect Br02 as an intermediate in...

Cluster-cluster transitions in the periodically illuminated photosensitive Belousov-Zhabotinsky (BZ) reaction-diffusion system exhibit the same scenario as in the autonomous BZ system with negative global feedback: two-phase clusters <--> three-phase clusters <--> irregular clusters <--> localized clusters. Transitions induced by changing the dark ( TD) or light ( TL) phases of the periodic ext...

We consider a discrete version of the Brusselator Model of the famous Belousov-Zhabotinsky reaction in chemistry. The original model is a reaction-diffusion equation and its discrete version is a coupled map lattice. We study the dynamics of the local map, which is a smooth map of the plane. We discuss the set of trajectories that escape to infinity as well as analyze the set of bounded traject...

Excitable chemical system can process information coded in excitation pulses. Here we discuss the simplest realization of a chemical signal diode that transmits pulses in one direction only. The construction of such diode just requires a geometrical combination of three areas characterized by different excitability. The proposed construction of chemical signal diode has been tested in numerical...

The evolution of excitation wave fronts in a spatially modulated light-sensitive Belousov-Zhabotinsky system is investigated experimentally and theoretically. The excitation wave propagates in a thin, quasi-two-dimensional reaction layer, which is illuminated through a periodical gray level mask. The light-induced differences in excitability and velocity give rise to a temporal and spatial modu...