Equilibrium points, linear stability, and bifurcation analysis on the dynamics of a quantum dot light emitting diode system.

In this paper a quantum dot light emitting diode (QDLED) system is modeled as a three dimensionless differential system. We identified three vital parameters Γ the rate of the output coupling rate of photons in the optical mode to the nonradiative decay rate of the number of carriers in the wetting layer (WL), Γ₁ the rate of the Einstein coefficient to the nonradiative decay rate of the number of carriers in the WL and δ_o such that I/We is the divide the injection current on Einstein coefficient multiplying elementary charge. Using these parameters a novel way to stability of the dynamics based on the number of interior equilibrium solutions admitted by the system has been obtained. We investigate the considered model is reach in dynamics and identified various bifurcations that are experienced by the considered system from the parameter space. These are saddle-node bifurcation, trans-critical bifurcation, and pitchfork bifurcation. In this study we offer mathematical proof for the incidence of these bifurcations that take place in the considered dynamical system as the parameters move between the regions presented in the parameter space and accordingly, this method was enhanced with numerical results. [ABSTRACT FROM AUTHOR]