Correction to: Scientific Reports https://doi.org/10.1038/srep42351, published online 09 February 2017
This Article contains errors in Figure 2 where the labelling of the yellow and blue lines is incorrect and should read ‘S1’ and ‘S2’ respectively.
In addition,
“Amplitude (A)”
should read:
“Forcing Amplitude (A)”
Furthermore, a display error resulted in the blue S2 lines being truncated on the right-hand side of the Figure.
The correct Figure 2 appears below as Figure 1.
(Upper) Bifurcation diagram of the noise-free (σ = 0) Duffing oscillator showing a bistability of limit cycles. The different colors, blue and yellow, represent each limit cycle, S2 and S1, respectively. The state variable \(\dot{x}\) (nT) is the T-shift map of the limit cycle variable, \(\dot{x}\). The points F1 and F2 mark the parameters where catastrophic shift occurs, A1c = 17.2295 and A2c = 8.2250 are the corresponding critical parameter values. The other system parameters are settled in d = 0.3, ω = 0.5. (Bottom) The asymptotic generalized winding numbers, w∞, of each limit cycle in the parameter interval. The colors correspond to the respective limit cycles.
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Medeiros, E.S., Caldas, I.L., Baptista, M.S. et al. Publisher Correction: Trapping Phenomenon Attenuates the Consequences of Tipping Points for Limit Cycles. Sci Rep 8, 17340 (2018). https://doi.org/10.1038/s41598-018-35962-8
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DOI: https://doi.org/10.1038/s41598-018-35962-8
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