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Theory and Modern Applications

Figure 15 | Advances in Difference Equations

Figure 15

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

Figure 15

Existence of periodic solution for case (SC \(\pmb{_{12}}\) ). (A) Numerical simulations for case (SC12) with \(\tau<\tau_{3}^{h_{1}}\). The parameter values are \(b=1.8\), \(p=1.3\), \(c =0.52\), \(\omega =0.1\), \(q =0.23\), \(\delta =0.3\), \(\theta =0.8\), \(V_{L}=20\), and \(\tau=0.12\). Here \(A_{h_{1}}=0.1998\), \(A_{h}=-0.1997\), \(\tau_{2}^{h_{1}}=1.4887\), \(\tau_{3}^{h_{1}}=0.1758\), \(\tau_{2}^{h_{1}}=1.1701\), \(Y_{\min}^{h_{1}}=0.8304\), \(Y_{\max}^{h_{1}}=2.1433\), \(y^{*}=0.6692\). (B) Illustration for case (SC12) with \(\tau>\tau_{2}^{h_{1}}\).

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