Frequency Domain Approach for Hopf Bifurcation Analysis in a Single Mode Laser Model with Time Delay

Changjin Xu, Maoxin Liao

Abstract


IIn this paper, using frequency domain approach, a single mode laser model with delay is investigated. By choosing the
delay ? as a bifurcation parameter, we show that Hopf bifurcation can occur when ? passes a sequence of critical values.
This means that a family of periodic solutions bifurcate from the equilibrium when the bifurcation parameter exceeds a
critical value. Some numerical simulations are given to justify the theoretical analysis results. The approach used in this
paper is an excellent supplement of previous known ones of Hopf bifurcation analysis.

Full Text: PDF DOI: 10.5539/jmr.v2n3p144

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This work is licensed under a Creative Commons Attribution 3.0 License.

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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