In certain physical systems measuring one variable of the system modi es the values of any number of other variables unpredictably. We show in this paper that under these conditions a parallel approach succeeds in carrying out the required measurement while a sequential approach fails. Speci cally, we show that for a nonlinear dynamical system, namely, the Belousov-Zhabotinskii chemical reactio...

We present a theoretical analysis of stacking and destacking wave trains in excitable reaction-diffusion systems with anomalous velocity-wavelength dependence. For linearized dispersion relations, kinematic analysis yields an analytical function that rigorously describes front trajectories. The corresponding accelerations have exactly one extremum that slowly decays with increasing pulse number...

We explore geometry of London’s streets using computational mode of an excitable chemical system, Belousov-Zhabotinsky (BZ) medium. We virtually fill in the streets with a BZ medium and study propagation of excitation waves for a range of excitability parameters, gradual transition from excitable to subexcitable to non-excitable. We demonstrate a pruning strategy adopted by the medium with decr...

We show that spatiotemporal noise acting on the illumination intensity of an excitable photosensitive Belousov–Zhabotinskii medium, modelled by the diffusively coupled two-component Oregonator kinetics, is able to extract a characteristic spatial frequency of the system in a resonant manner. We emphasize that thereby the system is locally initiated from steady state excitable conditions so the ...

This paper presents some simple ideas about domino gates. Domino gates are implementations of logical operations using toppling dominoes to represent the movement of information (bits). The actively toppling domino represents a logic one, and absence of toppling represents logic zero. The domino model can be used as a representation of single-shot wave gates in unconstrained media, such as sub-...

We investigate the Belousov-Zhabotinzky (BZ) reaction as a substrate for computation. Expanding on previous research we present a new technique that utilizes two modes of the BZ reaction, excitation and oscillation, and selective diffusive coupling. We show in simulation that this technique can be used to invert input signals, providing the logical operator, NOT. Our system can readily compute ...

We report experimental and numerical results on temporal patterns of propagation failures in reaction-diffusion systems. Experiments employ the 1,4-cyclohexanedione Belousov-Zhabotinsky reaction. The propagation failures occur in the frontier region of the wave train and can profoundly affect its expansion speed. The specific rhythms observed vary from simple periodic to highly complex and poss...

In the Belousov-Zhabotinsky (BZ) reaction carried out in a reverse microemulsion with Aerosol OT as surfactant, the existence of two different sizes of droplets containing the BZ reactants leads to the emergence of segmented (dashed) waves. This bimodal distribution of sizes is stabilized by adding small amounts of the homopolymer poly(ethylene oxide) (PEO). Addition of PEO lengthens the period...

The synchronization of two distributed Belousov-Zhabotinsky systems is experimentally and theoretically investigated. Symmetric local coupling of the systems is made possible with the use of a video camera-projector scheme. The spatial disorder of the coupled systems, with random initial configurations of spirals, gradually decreases until a final state is attained, which corresponds to a synch...