文章基本信息

标题：Improving Chaotic Features of Fractional Chaotic Maps
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作者：Chunxiao Yang ; Ina Taralova ; Jean Jacques Loiseau 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2021
卷号：54
期号：17
页码：154-159
DOI：10.1016/j.ifacol.2021.11.042
语种：English
出版社：Elsevier
摘要：AbstractTwo fractional chaotic maps, Lu and Chen fractional chaotic maps, have been analyzed using an innovative predictor-corrector method based on a non-uniform grid. An original chaotic law to control the grid size at each iteration has been introduced. The choice of the non-uniform grid was shown to play a fundamental role to obtain chaotic behavior for a larger fractional parameter range, while decreasing the computational time. The obtained results show that the complexity of the resulting fractional chaotic system in terms of Lyapunov exponents, Fourier transforms and chaos robustness is sensitive to the choice of the grid and can be considerably improved by the proposed method.
关键词：Keywordsfractional chaotic systembifurcationsPredictor-Corrector approachnon-uniform gridnumerical calculation