Using the Belousov-Zhabotinsky reaction, we study the pinning of multiarmed spiral waves to nonexcitable obstacles. With increasing obstacle size, the individual arms switch from a repulsive to an attractive state. This transition yields densely aggregated spiral arms and is caused by anomalous dispersion. A kinematic model reproduces the measurements quantitatively and identifies the transitio...

This paper is concerned with the traveling wavefronts of Belousov-Zhabotinskii model with time delay. By constructing upper and lower solutions and applying the theory of asymptotic spreading, the minimal wave speed is obtained under the weaker condition than that in the known results. Moreover, the strict monotonicity of any monotone traveling wavefronts is also established.

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.

Experiments on a periodically forced Belousov-Zhabotinsky chemical reaction show front breakup into a state of spatiotemporal disorder involving continual events of spiral-vortex nucleation and destruction. Using the amplitude equation for forced oscillatory systems and the normal form equations for a curved front line, we identify the mechanism of front breakup and explain the experimental obs...

Autowaves spreading in a thin layer of the Belousov-Zhabotinsky reaction with ferroin catalyst immobilized in silica gel have been studied. It is found that there is a critical thickness of this layer such that autowaves could not propagate in thinner layers. The results of computer simulations in the two-variable Rovinsky model qualitatively fit the experimental data for the temperature range ...

The quantitative analysis of low-dimensional chaotic dynamical systems has been an active area of research for many years. Up until now, most work has concentrated on the analysis of time series data from laboratory experiments and numerical simulations. Examples include Rayleigh-Bénard convection, Couette-Taylor fluid flow, and the Belousov-Zhabotinskii chemical reaction [Libchaber, Fauve & La...