We report an example of subcritical wave instability in a model of a reaction-diffusion system and discuss the potential implications for localized patterns found in experiments on the Belousov-Zhabotinsky reaction in a microemulsion.

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.

We extend the formulae given by Azé–Corvellec, Belousov–Andronov and Ng–Zheng for the Hoffman constant associated to the system of linear inequalities Ax ≤ b and relate them to that established by Li.

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...

Submitted for the MAR13 Meeting of The American Physical Society Morphogenesis in Belousov-Zhabotinsky microdroplets1 NING LI, NATHAN TOMPKINS, CAMILLE GIRABAWE, IRVING EPSTEIN, SETH FRADEN, Brandeis University, BRANDEIS/MRSEC TEAM — We present experimental evidence for the six cases Alan Turing predicted using linear stability analysis in his 1952 paper “The chemical basis of morphogenesis” in...