Bifurcations of spatially nonhomogeneous periodic solutions and steady state solutions are rigorously proved for a reaction-diffusion system modeling CIMA chemical reaction. The existence of these patterned solutions shows the richness of the spatiotemporal dynamics including Turing instability and oscillatory behavior. Examples of numerical simulation are also shown to support and strengthen t...

The Bray-Liebhafsky (BL) oscillatory reaction generated in the batch reactor at 6268 C was perturbed by cobalt(II)-nitrate, supported on the macroreticular copolymer of poly-4-vinylpyridine with divinylbenzene (Co-PVPDVB). The kinetic data was analyzed of the complex pathways of the hydrogen peroxide decomposition in the examined BL reaction. The obtained results confirm that the kinetics of th...

In this paper, we introduce autonomous gel actuators driven by chemical energy. The polymer gels prepared here have cyclic chemical reaction networks. With a cyclic reaction, the polymer gels generate periodical motion. The periodic motion of the gel is produced by the chemical energy of the oscillatory Belouzov-Zhabotinsky (BZ) reaction. We have succeeded in making synthetic polymer gel move a...

Biological rhythms are regulated by homeostatic mechanisms that assure that physiological clocks function reliably independent of temperature changes in the environment. Temperature compensation, the independence of the oscillatory period on temperature, is known to play a central role in many biological rhythms, but it is rather rare in chemical oscillators. We study the influence of temperatu...

Turing suggested that, under certain conditions, chemicals can react and diffuse in such a way as to produce steady-state inhomogeneous spatial patterns of chemical concentrations. We consider a simple two-variable reaction-diffusion system and find there is a spatio-temporally oscillating solution (STOS) in parameter regions where linear analysis predicts a pure Turing instability and no Hopf ...

Keywords--Reaction-diffusion, Travelling waves, A-w systems. 1. I N T R O D U C T I O N Periodic wave t ra ins are the generic one-dimensional solut ion form for react ion-diffusion equat ions with a s table l imit cycle in the kinetics. Such stable l imit cycles are used widely in biological and chemical applicat ions; chemical concent ra t ion waves such as those found wi th the BelousovZhabo...

Stationary and oscillatory localized patterns (oscillons) are found in the Belousov-Zhabotinsky reaction dispersed in Aerosol OT water-in-oil microemulsion. The experimental findings are analyzed in terms of subcritical Hopf instability, subcritical Turing instability, and their combination.

purpose: to study recordings of oscillatory potentials (ops) of the electroretinogram (erg) in diabetic eyes that have no visible fundus alterations, to ascertain whether changes in sensitivity are evident when compared with recordings from age-matched controls. methods: ops of the erg were measured from 68 eyes of 34 patients with diabetes without retinopathy and from 30 eyes of 15 normal subj...