Correction to: Scientific Reports https://doi.org/10.1038/s41598-021-89198-0, published online 10 May 2021


The original version of this Article contained errors.


In Figure 7, the x-axis labels, “configuration number, n” did not display correctly and was incorrectly given as “configuration num er, n”.


The original Figure 7 and accompanying legend appear below.

Figure 7
figure 7

Numerical simulation of Eqs. (3) and (6) for a nine-leaf star network with 512 different initial conditions \({\mathbf {R}}(0)\), each of which is close to the state \({\mathbf {R}}_n^{(9)}\) of a particular predicted asymptotic configuration with number \(n=0,\ldots ,511\). Panels (a) and (b) correspond to the sigmoid boundary function with \(\mu =0.01\) and the Heaviside step boundary function, respectively. The frequencies \((\omega _1, \ldots , \omega _8, \omega _0, \omega _9)\), written in ascending order, are equidistantly distributed in the interval [0.6, 1]. The states \({\mathbf {R}}(0)\) are chosen so that the initial distances \(|{\mathbf {R}}(0)-{\mathbf {R}}_n^{(9)}|\) shown in blue squares are the same for all configurations. The yellow dots show the values of the corresponding distances \(|{\mathbf {R}}(t)-{\mathbf {R}}_n^{(9)}|\) at time \(t=300\), and the red circles at time \(t=76{,}000\). Parameter values: \(\varepsilon = 0.001\), \(\tau _+ = 0.15\), \(\tau _-=0.3\), and \(\alpha = 1\).

Full size image

Additionally, there were errors in the Reference list.


Reference 42 was incorrectly given as:


42. Khaledi Nasab, A., Kromer, J. & Tass, P. Long-lasting desynchronization of plastic neural networks by random reset stimulation. Front. Physiol. (in press) (2020).


Reference 49 was incorrectly given as:


49. Pfeifer, K. J. et al. Coordinated reset vibrotactile stimulation induces sustained cumulative benefits in Parkinson’s disease. Front. Physiol. (Under review) (2021).


The correct References are listed below:


42. Khaledi Nasab, A., Kromer, J. & Tass, P. Long-lasting desynchronization of plastic neural networks by random reset stimulation. Front. Physiol. 11, 622620. https://doi.org/10.3389/fphys.2020.622620 (2021).


49. Pfeifer, K. J. et al. Coordinated reset vibrotactile stimulation induces sustained cumulative benefits in Parkinson’s disease. Front. Physiol, 12, 624317. https://doi.org/10.3389/fphys.2021.624317 (2021).


The original Article has been corrected.