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1 Correction to: Nonlinear Dyn https://doi.org/10.1007/s11071-022-07370-1
The article was published with errors in equations (35), (36) and (37). To derive the standard slow–fast normal form near the folded singularity Q, we use the transformation \(X=x-x_3\), \(Y=y-y_3\), \(\mu =b-b^*\) and the linear scaling \(X'=-\frac{1}{k\sqrt{a}}X\), \(Y'=-\frac{1}{ka}Y\), \(t'=\sqrt{a}t\). The equations (35a)–(35b) then should appear as
where \(h_1=1, h_2=1, h_3=0\), \(h_4=1+4a^{\frac{3}{2}}X'+\mathcal {O}(|X', Y', \mu '|^2)\), \(h_5=1+ \mathcal {O}(X', Y', \mu ')\), \(h_6=-\frac{1}{\sqrt{a}}+ \mathcal {O}(X', Y', \mu ')\), \(\mu '=\frac{\mu }{ka^{\frac{3}{2}}}\). Correspondingly, the corrected equations (36a)–(36f) will be as follows
The singular Hopf bifurcation and maximal canard curves are then given by \(\mu =\mu _H\left( \sqrt{\epsilon }\right) =\frac{ka\epsilon }{2}+\mathcal {O}(\epsilon ^{3/2})\), \(\mu =\mu _c\left( \sqrt{\epsilon }\right) =\frac{ka}{4}\left( 1+4a^2\right) \epsilon + \mathcal {O}(\epsilon ^{3/2})\), and the equations (37a)–(37b) should be read as
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Saha, T., Pal, P.J. & Banerjee, M. Correction to: Slow–fast analysis of a modified Leslie–Gower model with Holling type I functional response. Nonlinear Dyn 109, 2245 (2022). https://doi.org/10.1007/s11071-022-07502-7
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DOI: https://doi.org/10.1007/s11071-022-07502-7