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Theory and Modern Applications

Figure 14 | Advances in Difference Equations

Figure 14

From: Global dynamics of a state-dependent feedback control system

Figure 14

Illustration of Theorem 9.2 with parameter values \(\pmb{b=1.8}\) , \(\pmb{p=1.3}\) , \(\pmb{c =0.52}\) , \(\pmb{\omega =0.1}\) , \(\pmb{q =0.23}\) , \(\pmb{\delta =0.3}\) , \(\pmb{\theta =0.8}\) , \(\pmb{V_{L}=12}\) . We have \(\tau = 0.3\) (A) and \(\tau = 1.6\) (B). The solution shown in each subplot starting at \(((1-\theta)V_{L}, 0.1)\), \(\frac{A_{h}}{b}=0.2235\), \(\tau_{2}^{h_{1}}=1.1701\) and \(Y_{\min}^{h_{1}}=0.7229\), \(Y_{\max}^{h_{1}}=2.3628\), \(y^{*}=2.5399\) for subplot (B).

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