Hopf Bifurcation Analysis in a Modified Optically Injected Semiconductor Lasers Model

Abstract:

In this paper, a modified optically injected semiconductor lasers model is studied in detail. More precisely, we study the stability of the equilibrium points and basic dynamic properties of the autonomous system by means of nonlinear dynamics theory. The existence of Hopf bifurcation is investigated by choosing the appropriate bifurcation parameter. Furthermore, formulas for determining the stability and the conditions for generating Hopf bifurcation of the equilibria are derived. Then, a numerical example is given.

• Periodical: Applied Mechanics and Materials (Volumes 631-632)
• Pages: 254-260
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.631-632.254
• Online since: September 2014
• Authors: Jiang Ang Zhang*, Wen Ju Du, Kutorzi Edwin Yao
• Keywords: Dynamical Properties, Hopf Bifurcation, Lyapunov Exponent, Stability

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