oscillating reactions are one of the most interesting topics in chemistry and analytical chemistry. fluctuations in concentrations of one the reacting species (usually a reaction intermediate) create an oscillating chemical reaction. in oscillating systems, the reaction is far from thermodynamic equilibrium. in these systems, at least one autocatalytic step is required. developing an instinctiv...

Oscillating reactions are one of the most interesting topics in chemistry and analytical chemistry. Fluctuations in concentrations of one the reacting species (usually a reaction intermediate) create an oscillating chemical reaction. In oscillating systems, the reaction is far from thermodynamic equilibrium. In these systems, at least one autocatalytic step is required. Developing an instinctiv...

The peroxidase-oxidase (PO) reaction is an important example of how oscillating reactions arise in living organisms. The reaction is important mathematically because exhibits many characteristics of chaos. Of these characteristics, sensitive dependence on initial conditions illustrates how predicting the future state of the PO reaction is next to impossible. For this reason, chaotic behavior in...

In this paper, we investigate the quintessence models with an oscillating equation of state (EoS) and their potentials. From the constructed potentials, which have the EoS of ωφ = ω0+ω1 sin z, we find they are all the oscillating functions of the field φ, and the oscillating amplitudes are decreasing (or increasing) with φ. From the evolutive equation of the field φ, we find this is caused by t...

A kinetic description of lattice-gas automaton models for reaction-diffusion systems is presented. It provides corrections to the mean field rate equations in the diffusion-limited regime. When applied to the two-species Maginu model, the theory gives an excellent quantitative prediction of the effect of slow diffusion on the periodic oscillations of the average concentrations in a spatially ho...

Stimuli-responsive polymers and their application to biomaterials have been widely studied. On the other hand, as a novel biomimetic polymer, we have been studying the polymer with an autonomous self-oscillating function by utilizing oscillating chemical reactions. So far, we succeeded in developing a novel self-oscillating polymer and gels by utilizing the oscillating reaction, called the Belo...