Excitable Reaction-Diffusion Media with Memristors

Three-valued logic gates in reaction-diffusion excitable media

It is well established now that excitable media are capable of implementing of a wide range of computational operations, from image processing to logical computation to navigation of robots. The findings published so far in the field of logical computation were concerned solely with realization of boolean logic. This imposed somewhat artificial limitations on a suitability of excitable media fo...

Excitable front geometry in reaction-diffusion systems with anomalous dispersion.

Two-dimensional excitable systems with anomalous dispersion provide a discrete set of interpulse distances for the stable propagation of planar wave trains. Numerical simulations show that the trailing front of a pulse pair can undergo transitions between these stable distances. In response to localized perturbations, the trailing front converges towards one of numerous, sigmoidal shapes. Their...

Diffusion-induced Vortex Filament Instability in 3-Dimensional Excitable Media

Reaction-diffusion chip implementing excitable lattices with multiple-valued cellular automata

We designed a special CMOS circuit for reaction-diffusion computers that accepts optical inputs in parallel and generates excitable spatial waves on a chip surface. We demonstrated the spatiotemporal properties of the proposed circuits by fabricated LSIs.

Hopf Bifurcation in an Oscillatory-Excitable Reaction-Diffusion Model with Spatial Heterogeneity

We focus on the qualitative analysis of a reaction-diffusion with spatial heterogeneity near a bifurcation. The system is a generalization of the well known FitzHugh-Nagumo system in which the excitability parameter is space dependent. This heterogeneity allows to exhibit concomitant stationary and oscillatory phenomena. We prove the existence of an Hopf bifurcation and determine an equation of...