Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems

被引：45
作者：
He, Shaobo [1 ]
Li, Chunbiao [2 ,3 ]
Sun, Kehui [1 ]
Jafari, Sajad [4 ]
机构：
[1] Cent S Univ, Sch Phys & Elect, Changsha 410083, Hunan, Peoples R China
[2] Nanjing Univ Informat Sci & Technol, Jiangsu Collaborat Innovat Ctr Atmospher Environm, Nanjing 210044, Jiangsu, Peoples R China
[3] Nanjing Univ Informat Sci & Technol, Jiangsu Key Lab Meteorol Observat & Informat Proc, Nanjing 210044, Jiangsu, Peoples R China
[4] Amirkabir Univ Technol, Dept Biomed Engn, 424 Hafez Ave, Tehran 158754413, Iran
来源：
ENTROPY | 2018年 / 20卷 / 08期
基金：
中国国家自然科学基金;
关键词：
multiscale multivariate entropy; multistability; self-reproducing system; chaos; CONGESTIVE-HEART-FAILURE; LEMPEL-ZIV COMPLEXITY; PERMUTATION ENTROPY; SAMPLE ENTROPY; ATTRACTORS; MULTISTABILITY; SEQUENCES; SERIES;
D O I：
10.3390/e20080556
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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.
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页数：14
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