Neuronal groups can interact with each other even if they are widely separated. One group might modulate its firing rate or its internal oscillatory synchronization to influence another group. We propose that coherence between two neuronal groups is a mechanism of efficient interaction, because it renders mutual input optimally timed and thereby maximally effective. Modulations of subjects' rea...

The autocatalytic reaction between chlorite and iodide ions exhibits a remarkable range of dynamical behavior. In a stirred tank reactor it shows bistability between steady states and between a steady and an oscillatory state. It forms the core of a large family of systematically designed chemical oscillators. The chlorite-iodide system has served as the prototype reaction in the discovery and ...

Reaction temperature plays a major role in product selectivity in the oscillatory mode of the palladium-catalyzed phenylacetylene oxidative carbonylation reaction. At 40 °C, dimethyl (2Z)-2-phenyl-2-butenedioate is the major product whereas at 0 °C the major product is 5,5-dimethoxy-3-phenyl-2(5H)-furanone. The occurrence of oscillations in pH coincides with an increase in the rate of phenylace...

A binary system composed of an oscillating and rotating coplanar dusty disk and a point mass is considered. The conservative dynamics is treated on the Newtonian level. The effects of gravitational radiation reaction and wave emission are studied to leading quadrupole order. The related waveforms are given. The dynamical evolution of the system is determined semi-analytically exploiting the Ham...

We introduce a genetic programming (GP) approach for evolving genetic networks that demonstrate desired dynamics when simulated as a discrete stochastic process. Our representation of genetic networks is based on a biochemical reaction model including key elements such as transcription, translation and post-translational modifications. The stochastic, reaction-based GP system is similar but not...

We present experiments on the synchronization of a dynamical, chemical process in an extended, flowing, fluid system. The oscillatory Belousov-Zhabotinsky chemical reaction is the process studied, and the flow is an annular chain of counterrotating vortices. Azimuthal motion of the vortices is controlled externally, enabling us to vary the type of transport. We find that oscillations of the Bel...

A new kind of nonlinear nonequilibrium patterns--twisted spiral waves--is predicted for periodically forced oscillatory reaction-diffusion media. We show, furthermore, that, in such media, spatial regions with modified local properties may act as traps where propagating waves can be stored and released in a controlled way. Underlying both phenomena is the effect of the wavelength-dependent prop...

Spontaneous antispiral wave formation was observed during the simulation of typical reaction-diffusion systems using differential equations models. The equations for the FitzHugh-Nagumo (FHN), complex Ginzburg-Landau (CGL) and the two-variable Oregonator models were integrated using Runge-Kutta methods. It was found that antispiral waves can occur only near the Hopf bifurcation, i.e. the point ...

tween steady and oscillatory states, and marked sensitivity to stirring rate. Thiocyanate shows none of these features. A mechanistic explanation of the chlorite-bromide oscillations seems within reach given the reactions's similarity to the chlorite-iodide reaction and the success of numerical simulations' ' , 1 2 of batch behavior in the chlorite-bromide system. In contrast, very little is kn...

We study a reaction-diffusion problem formulated with higher-order operator, non-linear advection, and Fisher-KPP reaction term depending on the spatial variable. The operator induces solutions to oscillate in proximity of an equilibrium condition. Given this oscillatory character, are studied set bounded domains. introduce new extension that allows us open domain RN, but departing from sequenc...