Hopf Bifurcation with the Spatial Average of an Activator in a Radially Symmetric Free Boundary Problem

الملخص EN

An interface problem derived by a bistable reaction-diffusion system with the spatial average of an activator is studied on an n-dimensional ball.

We analyze the existence of the radially symmetric solutions and the occurrence of Hopf bifurcation as a parameter varies in two and three-dimensional spaces.