obtain $N_{\text{e-folding}} = 60$ ([*i.e.*]{} $\epsilon(N=60) =1$). In this case, the scalar field slowly rolls down through the flat plateau region and reaches to the minimum to oscillate. The oscillatory behavior of the $\bphi$ is shown in the left panel of the Fig.\[fig-2\] and the slow-roll behaviors is represented on the right panel of the Fig.\[fig-2\].

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In tables.\[tab-1\] and \[tab-2\], we summarize the values of the cosmological parameters obtained from the different values of $\beta$ when we fix the number of e-foldings. In table.\[tab-1\], we choose the e-folding number as 60 and vary the value of $\beta$ from -0.02 to 0.05. This range of $\beta$ provides the allowed regions for the cosmological parameters given in the reference [@150202114]. The smaller the values of $\beta$, the steeper the potential in the slow-roll plateau. Thus, one needs the larger initial field values for the smaller values of $\beta$ to obtain the same value of the e-folding number. The $\bphi_{i}$ varies from 75.2 to 16.4 for $-0.02 \leq \beta \leq 0.05$. One of slow-roll parameters, $\epsilon_{\text{V}}$ decreases as $\beta$ increases. However, as $\beta$ decreases, so does the other slow-roll parameter, $\eta_{\text{V}}$. The scalar spectral index, $n_{s}$ decreases as $\beta$ 