A new type of out-of-phase oscillatory Turing pattern is found in simulations of a simple two-variable model of a bistable reaction-diffusion system consisting of an autocatalytic activator reacting with a substrate that is replenished by a flow. This class of models can describe pH oscillators or enzymatic reactions. No Hopf instability is necessary for this type of oscillatory Turing pattern.

We have presented [Termonia, Y. & Ross, J. (1981) Proc. Natl. Acad. Sci. USA 78, 2952-2956] an analysis of glycolysis based on experimental findings. Here, we give an interpretation based on the concepts of efficiency, resonance response, and control features available to highly nonlinear reaction kinetics. The comprehensive model of glycolysis, for which we presented numerical evaluation of co...

When subject to illumination, tetrathionate ion decomposes in an oscillatory fashion with a period of about 1 h to yield products identified as colloidal sulfur and trithionate ion. This system represents the first experimental example of a stirred, batch photochemical oscillator. A simple model consisting of four reaction steps and four adjustable rate parameters gives good agreement with the ...

Effect of external periodic force on an oscillatory order in a reaction diffusion system (Gierer Meinhardt model) has been investigated. The 2:1 resonance situation is found susceptible for the generation of a band of phase instabilities. These phase instabilities, captured on multiple time scales, produces a mismatch between the oscillation frequency of reacting species. The effect of parametr...

We review a series of experimental investigations on the oscillatory hydrodynamic flow appearing in a thin solution layer of the Belousov-Zhabotinsky (BZ) reaction under excitation of spiral waves. There have been many investigations to clarify the mechanism of the flow. Starting from a historical sketch, we introduce the latest findings, those closely relate to the mechanism of the oscillatory...

We carried out experiments to study the e ect of local disturbances on the vortex dynamics in the light-sensitive Belousov Zhabotinsky (BZ) reaction. It was found that irradiation with visible light of the core region of a rotating spiral wave (vortex) in an oscillatory medium results in a bifurcation which dramatically changes the shape of the vortex. The bifurcation is seen as an unfolding in...

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We report a comprehensive study of the electro-oxidation of ethylene glycol (EG) on platinum with emphasis on the effects exerted by the electrolyte pH, the EG concentration, and temperature, under both regular and oscillatory conditions. We extracted and discussed parameters such as voltammetric activity, reaction orders (with respect to [EG]), oscillation's amplitude, frequency and waveform, ...

Polymerization of microtubules is ubiquitous in biological cells and under certain conditions it becomes oscillatory in time. Here, simple reaction models are analyzed that capture such oscillations as well as the length distribution of microtubules. We assume reaction conditions that are stationary over many oscillation periods, and it is a Hopf bifurcation that leads to a persistent oscillato...