Hopf Bifurcation Analysis in a Modified Optically Injected Semiconductor Lasers Model
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 investigate...
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| Veröffentlicht in: | Applied Mechanics and Materials 2014-09, Vol.631-632, p.254-260 |
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| container_title | Applied Mechanics and Materials |
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| creator | Zhang, Jiang Ang Yao, Kutorzi Edwin Du, Wen Ju |
| description | 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. |
| doi_str_mv | 10.4028/www.scientific.net/AMM.631-632.254 |
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| title | Hopf Bifurcation Analysis in a Modified Optically Injected Semiconductor Lasers Model |
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