Advances in Future Computer and Control Systems pp 249-255 | Cite as
Diffusion-Driven Instability and Hopf Bifurcation in Spatial Homogeneous Brusselator Model
Conference paper
Abstract
This paper is concerned with the well known Brusselator system. For the spatial homogeneous model, the existence of Hopf bifurcation surrounding the interior equilibrium is obtained. Moreover, the direction of Hopf bifurcation and the stability of bifurcating periodic solutions are established. Our method is based on the center manifold theory. For the model with no-flux boundary conditions, the diffusion-driven instability of the interior equilibrium is studied. Finally, to verify our theoretical results, some examples of numerical simulations are included.
Keywords
Brusselator model Hopf bifurcation Diffusion-driven instabilityPreview
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