This work describes a new mechanism for the emergence of oscillatory dynamics driven by interaction hydrodynamic flows and reaction-diffusion processes with no autocatalytic feedback nor prescribed instability involved. To do so, we study an A+ B ? C front in presence chemically-driven Marangoni arbitrary initial concentrations reactants diffusion coefficients all species. All species are assum...

MHD viscous oscillating type blood flow through lumen in arteries and varicose veins motivating to the study of disordered vessels veins. The nervous system, like other micro respiratory system is modeled geometrically shape tapered curvy walls varying cross section which new approach this problem same has advantage compared geometrical channel shapes. Blood taken as viscoelastic optically thic...

In two-dimensional space, we investigate the slow dynamics of multiple localized spots with oscillatory tails in a specific three-component reaction-diffusion system, whose key feature is that attract or repel each other alternatively according to their mutual distances, leading rather complex patterns. One fundamental pattern ring pattern, consisting $N$ equally distributed on circle certain r...

Of the many examples of oscillatory kinetic behaviour known, several are briefly reviewed, including those of glycolysis, the peroxidase-oxidase reaction and oscillations in cellular calcium concentration. It is shown that simple mathematical models employing allosteric rate laws are sufficient to explain the instability of the steady state and the appearance of sustained oscillations. The cAMP...

We study the propagation of fronts in extended oscillatory reaction-diffusion systems that contain several coexisting limit cycles. In contrast with the variational behavior, fronts between regions oscillating in two different limit cycles are found to propagate not necessarily towards the region of the less stable limit cycle, but towards the regions of the largest amplitudes, provided that th...

Based on an extended model of Marangoni convection during absorption accompanied by chemical reaction certain characteristics of the process are studied. Thus, the probability of oscillatory modes occurring in the system is analysed, the dimensions of the convective cells are evaluated and the gas-liquid contact time necessary for the instability to appear is determined. The quantitative conclu...

The inertial (due to rotation) and the gravitational fields of the Earth affect the motion of an elementary particle and its spin dynamics. This influence is not negligible and should be taken into account in high-energy physics experiments. Earth’s influence is manifest in perturbations in the particle motion, in an additional precession of the spin, and in a change of the constitutive tensor ...