A new instability framework in 2-component reaction-diffusion systems
Dynamical Systems
2023-11-14 v1 Analysis of PDEs
Abstract
This paper concerns pattern formation in 2-component reaction-diffusion systems with linear diffusion terms and a local interaction. We propose a new instability framework with 0-mode Hopf instability, and mode Turing instabilities in 2-component reaction-diffusion systems. The normal form for the codimension 3 bifurcation is derived via the center manifold reduction, which is one of the main results in the present paper. We also show numerical results on bifurcation of some reaction-diffusion systems and on a chaotic behavior of the normal form.
Cite
@article{arxiv.2311.07045,
title = {A new instability framework in 2-component reaction-diffusion systems},
author = {Hirofumi Izuhara and Shunsuke Kobayashi},
journal= {arXiv preprint arXiv:2311.07045},
year = {2023}
}