Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems
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-d...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-07-01
|
| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/20/8/556 |
| _version_ | 1798005417539796992 |
|---|---|
| author | Shaobo He Chunbiao Li Kehui Sun Sajad Jafari |
| author_facet | Shaobo He Chunbiao Li Kehui Sun Sajad Jafari |
| author_sort | Shaobo He |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T12:39:56Z |
| format | Article |
| id | doaj.art-96f51133dfdb4d99bcd1401458bddb7a |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T12:39:56Z |
| publishDate | 2018-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-96f51133dfdb4d99bcd1401458bddb7a2022-12-22T04:23:32ZengMDPI AGEntropy1099-43002018-07-0120855610.3390/e20080556e20080556Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic SystemsShaobo He0Chunbiao Li1Kehui Sun2Sajad Jafari3School of Physics and Electronics, Central South University, Changsha 410083, ChinaJiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Nanjing University of Information Science & Technology, Nanjing 210044, ChinaSchool of Physics and Electronics, Central South University, Changsha 410083, ChinaDepartment of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran 15875-4413, IranDesigning 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.http://www.mdpi.com/1099-4300/20/8/556multiscale multivariate entropymultistabilityself-reproducing systemchaos |
| spellingShingle | Shaobo He Chunbiao Li Kehui Sun Sajad Jafari Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems Entropy multiscale multivariate entropy multistability self-reproducing system chaos |
| title | Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems |
| title_full | Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems |
| title_fullStr | Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems |
| title_full_unstemmed | Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems |
| title_short | Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems |
| title_sort | multivariate multiscale complexity analysis of self reproducing chaotic systems |
| topic | multiscale multivariate entropy multistability self-reproducing system chaos |
| url | http://www.mdpi.com/1099-4300/20/8/556 |
| work_keys_str_mv | AT shaobohe multivariatemultiscalecomplexityanalysisofselfreproducingchaoticsystems AT chunbiaoli multivariatemultiscalecomplexityanalysisofselfreproducingchaoticsystems AT kehuisun multivariatemultiscalecomplexityanalysisofselfreproducingchaoticsystems AT sajadjafari multivariatemultiscalecomplexityanalysisofselfreproducingchaoticsystems |