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Advances in Continuous and Discrete Models

Theory and Modern Applications

Figure 2 | Advances in Difference Equations

Figure 2

From: Neimark–Sacker bifurcation and the generate cases of Kopel oligopoly model with different adjustment speed

Figure 2

(a) Bifurcation diagram of map (2) in \((\mu ,x)\) plane for \(\rho _{1}=0.3\), \(\rho _{2}=0.8\) and \(\mu \in [3.8,4.6] \). The initial point is \((0.899,0.354)\). (b) Bifurcation diagram of map (2) in \((\mu ,x)\) plane corresponding to (a). (c) Local amplification corresponding to (a) for \(\mu \in [4.5 4.56]\). (d) Local amplification corresponding to (b) for \(\mu \in [4.5, 4.56]\). (e) Maximum Lyapunov exponents (MLE for short) corresponding to (a) and (b). (f) Local amplification corresponding to (e)

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