Special Session 80: Nonlinear dynamics of particle systems and fluids
Local bifurcation for the one dimensional Gray-Scott model
Jongmin Han
Kyung Hee University Korea
Co-Author(s): Yuncherl Choi, Taeyoung Ha, Sewoong Kim, Doo Seok Lee
Abstract:
In this talk, we consider the local bifurcation near a ciritical control parmanter for the one dimensional Gray-Scott model.
We study the bifurcation at both simple and double eigenvalues of the linearized operator at a constant solution.
We show that the constant solution bifurcates to an attractor which determines final patterns of solutions.