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Article

Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems

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School of Physics and Electronics, Central South University, Changsha 410083, China
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Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology, Nanjing 210044, China
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Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science & Technology, Nanjing 210044, China
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Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran 15875-4413, Iran
*
Author to whom correspondence should be addressed.
Entropy 2018, 20(8), 556; https://doi.org/10.3390/e20080556
Received: 9 June 2018 / Revised: 23 July 2018 / Accepted: 24 July 2018 / Published: 27 July 2018
Designing a chaotic system with infinitely many attractors is a hot topic. In this paper, multiscale multivariate permutation entropy (MMPE) and multiscale multivariate Lempel–Ziv complexity (MMLZC) are employed to analyze the complexity of those self-reproducing chaotic systems with one-directional and two-directional infinitely many chaotic attractors. The analysis results show that complexity of this class of chaotic systems is determined by the initial conditions. Meanwhile, the values of MMPE are independent of the scale factor, which is different from the algorithm of MMLZC. The analysis proposed here is helpful as a reference for the application of the self-reproducing systems. View Full-Text
Keywords: multiscale multivariate entropy; multistability; self-reproducing system; chaos multiscale multivariate entropy; multistability; self-reproducing system; chaos
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MDPI and ACS Style

He, S.; Li, C.; Sun, K.; Jafari, S. Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems. Entropy 2018, 20, 556. https://doi.org/10.3390/e20080556

AMA Style

He S, Li C, Sun K, Jafari S. Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems. Entropy. 2018; 20(8):556. https://doi.org/10.3390/e20080556

Chicago/Turabian Style

He, Shaobo, Chunbiao Li, Kehui Sun, and Sajad Jafari. 2018. "Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems" Entropy 20, no. 8: 556. https://doi.org/10.3390/e20080556

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