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Theory and Modern Applications

Figure 2 | Advances in Difference Equations

Figure 2

From: Symmetric periodic solutions of delay-coupled optoelectronic oscillators

Figure 2

The bifurcation diagram for equation ( 2.1 ). The zero solution is unstable for all \(\tau\geq 0\) when \((a, \varepsilon) \in D_{1}\). When \((a, \varepsilon) \in D_{2}\), the zero solution is unstable for all \(\tau\geq 0\) and system undergoes a Hopf bifurcation at \(\tau=\tau_{j}^{\pm}\) (\(j=0,1,2,\ldots\)). When \((a, \varepsilon) \in D_{3}\), \(\tau_{0}^{+}< \tau_{0}^{-}<\tau_{1}^{+}\) and the zero solution is stable.

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