期刊
出版社
ROYAL SOC
DOI: 10.1098/rsta.2012.0459
关键词
oscillations; dynamics; time delay; square waves; Hopf bifurcation
资金
- FNRS (Belgium)
- Belgian FRIA
- Belgian Science Policy Office [IAP-7/35]
- European project PHOCUS FP7 grant [240763]
- Institut Universitaire de France
Square-wave oscillations exhibiting different plateau lengths have been observed experimentally by investigating an electro-optic oscillator. In a previous study, we analysed the model delay differential equations and determined an asymptotic approximation of the two plateaus. In this paper, we concentrate on the fast transition layers between plateaus and show how they contribute to the total period. We also investigate the bifurcation diagram of all possible stable solutions. We show that the square waves emerge from the first Hopf bifurcation of the basic steady state and that they may coexist with stable low-frequency periodic oscillations for the same value of the control parameter.
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