Feedback Control for a Diffusive and Delayed Brusselator Model: Semi-Analytical Solutions

This paper describes the stability and Hopf bifurcation analysis of Brusselator system with delayed feedback control in single domain a reaction–diffusion cell. The Galerkin analytical technique is used to present equation composed ordinary differential equations. condition able determine point found. Full maps regions for interacting chemical species are shown discussed, indicating that time delay, control, diffusion parameters can play significant important role dynamics two concentration reactants system. As result, these be changed destabilize model. results show points increase as increase, whereas decrease when increase. Bifurcation diagrams examples periodic oscillation phase-plane provided confirm all outcomes calculated benefits accuracy this work there excellent agreement between numerical simulation scheme figures illustrated.