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 thedelay ? 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
This work is licensed under a Creative Commons Attribution 4.0 License.
Index
- Academic Journals Database
- ACNP
- Aerospace Database
- BASE (Bielefeld Academic Search Engine)
- Civil Engineering Abstracts
- CNKI Scholar
- COPAC
- DTU Library
- EconPapers
- Elektronische Zeitschriftenbibliothek (EZB)
- EuroPub Database
- Google Scholar
- Harvard Library
- IDEAS
- Infotrieve
- JournalTOCs
- LOCKSS
- MathGuide
- MathSciNet
- MIAR
- PKP Open Archives Harvester
- Publons
- RePEc
- ResearchGate
- Scilit
- SHERPA/RoMEO
- SocioRePEc
- Standard Periodical Directory
- Technische Informationsbibliothek (TIB)
- The Keepers Registry
- UCR Library
- Universe Digital Library
- WorldCat
Contact
- Sophia WangEditorial Assistant
- jmr@ccsenet.org