Correction to: Journal of Nonlinear Science (2023) 33:26 https://doi.org/10.1007/s00332-022-09875-w

1. Some pdf viewers may render Figure 1 incorrectly; the Figure should have appeared as shown below.

figure a

2. At the end of the very last formula of the paper, \({\xi _{k-1+{\alpha },k}}\) should have appeared as \({\xi _{k-1+{\alpha }}}\).

The original article has been corrected.