Journal
ENTROPY
Volume 20, Issue 8, Pages -Publisher
MDPI
DOI: 10.3390/e20080556
Keywords
multiscale multivariate entropy; multistability; self-reproducing system; chaos
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Funding
- Natural Science Foundation of Jiangsu Province [SBK2018021196]
- Postdoctoral Innovative Talents Support Program [BX20180386]
- Special Funds for Theoretical Physics of the National Natural Science Foundation of China [11747150]
- Natural Science Foundation of the Higher Education Institutions of Jiangsu Province [16KJB120004]
- Startup Foundation for Introducing Talent of NUIST [2016205]
- Priority Academic Program Development of Jiangsu Higher Education Institutions
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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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