Abstract
In this note, two comments are pointed out to the paper (Wu and Baleanu in Nonlinear Dyn 75:283–287, 2014). It is confirmed that the equation of fractional logistic map proposed by Wu and Baleanu cannot be called the “fractional logistic map,” because the map does not converge to the classical logistic map in one dimension, and the analysis of bifurcation diagrams also exist problem. So, the revised equation and the correct bifurcation diagrams are presented in this note. Due to the high impact of the Wu and Baleanu’s paper, we believe that these comments will be helpful for the fractional community in the further research.
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Acknowledgements
This work is supported by the National Natural Science Foundation of China (Grant Nos. 61161006 and 61573383) and the Key Innovation Project of Graduate of Central South University (Grant No. 2018ZZTS009).
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Peng, Y., Sun, K., He, S. et al. Comments on “Discrete fractional logistic map and its chaos” [Nonlinear Dyn. 75, 283–287 (2014)]. Nonlinear Dyn 97, 897–901 (2019). https://doi.org/10.1007/s11071-019-05012-7
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DOI: https://doi.org/10.1007/s11071-019-05012-7